diff --git a/docs/web-ui/dashboard.md b/docs/web-ui/dashboard.md
index 0328ed54..08f8e686 100644
--- a/docs/web-ui/dashboard.md
+++ b/docs/web-ui/dashboard.md
@@ -179,6 +179,17 @@ cancel flips the row to `⊘ cancelled` via the next
 Cold-loaded from `/api/state.rebuild_queue`; live updates via
 `rebuild_queue_changed` snapshot event.
 
+Below the queue, a **live build-log panel** (`#rebuild-live-log`,
+`renderRebuildLiveLog`) streams the currently-running rebuild's output
+inline — collapsible, with a live/ok/fail badge and a `↓ raw` download.
+It's keyed to the running entry's `build_log_id` and opens one
+`EventSource` to `GET /api/build-logs/id/{id}/stream` (the same stream
+the L0GS page BUILD tab uses; the stream replays accumulated output on
+connect). It lives in its own container outside `#rebuild-queue-section`
+so the queue's per-row re-render (rows rebuild as the `step` advances)
+never tears down the open stream; it hides when nothing is building and
+each row keeps its `logs →` link out to the full L0GS history.
+
 **K3PT ST4T3** — destroyed-but-state-kept tombstones (size +
 age + claude-creds badge). Two actions: `⊕ R3V1V3` (queues a
 Spawn approval; existing state is reused), `PURG3` (wipes
diff --git a/frontend/packages/dashboard/src/common.js b/frontend/packages/dashboard/src/common.js
index 370517e5..2a66ffdf 100644
--- a/frontend/packages/dashboard/src/common.js
+++ b/frontend/packages/dashboard/src/common.js
@@ -305,6 +305,52 @@ export function openStream(url) {
   return target;
 }
 
+// Stream a build log into a <pre>, returning the EventSource. Shared by the
+// L0GS page BUILD tab and the C0R3 rebuild-queue live-log panel so the
+// append / sticky-scroll / stderr-separator / reconnect-replay logic lives in
+// one place. Appends `stdout_append` then `stderr_append` (one `--- stderr ---`
+// separator) frames from `GET /api/build-logs/id/{id}/stream`; auto-scrolls to
+// the bottom unless the operator scrolled up; on the terminal `done` frame
+// closes the stream and calls `onDone(status)`; on a non-transient error
+// closes and calls `onError()`. The backend replays accumulated output on each
+// (re)connect, so a CONNECTING reconnect resets the <pre> to avoid doubling.
+export function openBuildLogStream(id, pre, { onDone, onError } = {}) {
+  let atBottom = true;
+  pre.addEventListener('scroll', () => {
+    atBottom = pre.scrollHeight - pre.scrollTop - pre.clientHeight < 40;
+  });
+  let stderrSeen = false;
+  const es = new EventSource('/api/build-logs/id/' + id + '/stream');
+  es.onmessage = (e) => {
+    let frame;
+    try { frame = JSON.parse(e.data); } catch { return; }
+    if (frame.stdout_append) {
+      pre.textContent += frame.stdout_append;
+      if (atBottom) pre.scrollTop = pre.scrollHeight;
+    }
+    if (frame.stderr_append) {
+      if (!stderrSeen) { pre.textContent += '\n--- stderr ---\n'; stderrSeen = true; }
+      pre.textContent += frame.stderr_append;
+      if (atBottom) pre.scrollTop = pre.scrollHeight;
+    }
+    if (frame.done) {
+      es.close();
+      if (onDone) onDone(frame.status || 'done');
+    }
+  };
+  es.onerror = () => {
+    // CONNECTING = the browser is auto-reconnecting; the stream replays from
+    // the start, so clear the <pre> to avoid duplicated output and wait.
+    if (es.readyState === EventSource.CONNECTING) {
+      pre.textContent = ''; stderrSeen = false;
+      return;
+    }
+    es.close();
+    if (onError) onError();
+  };
+  return es;
+}
+
 // ─── side panel ─────────────────────────────────────────────────────────
 // Singleton drawer that swipes in from the right. Long content
 // (file previews, approval diffs, journald logs, applied config)
diff --git a/frontend/packages/dashboard/src/core.css b/frontend/packages/dashboard/src/core.css
index 46755bdb..57509df9 100644
--- a/frontend/packages/dashboard/src/core.css
+++ b/frontend/packages/dashboard/src/core.css
@@ -33,3 +33,70 @@ body.core-shell {
 /* createTabStrip toggles the native `hidden` attribute on inactive
    panes; ensure it wins over any inherited display. */
 .core-pane[hidden] { display: none; }
+
+/* ─── running-rebuild live log (renderRebuildLiveLog in core.js) ──────────
+   Streams the currently-running rebuild's build log inline under the queue.
+   Hidden (native `hidden` attr) when nothing is building. */
+.rebuild-live-log {
+  margin-top: 0.8em;
+  border: 1px solid var(--purple-dim);
+  border-radius: 4px;
+  background: color-mix(in srgb, var(--crust) 70%, transparent);
+}
+.rebuild-live-log-header {
+  display: flex;
+  align-items: center;
+  gap: 0.4em;
+  padding: 0.4em 0.6em;
+  font-size: 0.85em;
+  border-bottom: 1px solid var(--border);
+}
+.rebuild-live-log-toggle {
+  background: transparent;
+  border: 0;
+  color: var(--muted);
+  cursor: pointer;
+  font-family: inherit;
+  font-size: 1em;
+  padding: 0 0.2em;
+}
+.rebuild-live-log-toggle:hover { color: var(--fg); }
+.rebuild-live-log-title { color: var(--muted); }
+.rebuild-live-log-raw {
+  margin-left: auto;
+  color: var(--purple);
+  text-decoration: none;
+  font-size: 0.9em;
+}
+.rebuild-live-log-raw:hover { text-decoration: underline; }
+.rebuild-live-log-badge {
+  font-size: 0.75em;
+  font-weight: bold;
+  padding: 0.05em 0.5em;
+  border-radius: 999px;
+  letter-spacing: 0.05em;
+}
+.rebuild-live-log-badge.rll-running {
+  color: var(--amber);
+  background: color-mix(in srgb, var(--amber) 18%, transparent);
+}
+.rebuild-live-log-badge.rll-ok {
+  color: var(--green);
+  background: color-mix(in srgb, var(--green) 18%, transparent);
+}
+.rebuild-live-log-badge.rll-fail {
+  color: var(--red);
+  background: color-mix(in srgb, var(--red) 18%, transparent);
+}
+.rebuild-live-log-output {
+  margin: 0;
+  padding: 0.5em 0.7em;
+  max-height: 22em;
+  overflow-y: auto;
+  white-space: pre-wrap;
+  word-break: break-word;
+  font-family: "JetBrains Mono", "Fira Code", "Cascadia Code", "Source Code Pro", monospace;
+  font-size: 0.8em;
+  line-height: 1.4;
+  color: var(--fg);
+}
diff --git a/frontend/packages/dashboard/src/core.html b/frontend/packages/dashboard/src/core.html
index 51c99803..6de67577 100644
--- a/frontend/packages/dashboard/src/core.html
+++ b/frontend/packages/dashboard/src/core.html
@@ -55,6 +55,11 @@
       <div id="rebuild-queue-section">
         <p class="meta">loading…</p>
       </div>
+      <!-- Live build log of the currently-running rebuild (one runs at a
+           time). Managed by renderRebuildLiveLog in core.js, separate from
+           rebuild-queue-section so the queue's row re-render never disturbs
+           the open SSE stream. -->
+      <div id="rebuild-live-log" hidden></div>
     </section>
 
     <!-- M3T4 1NPUTS: select inputs to nix flake update in /meta/. -->
diff --git a/frontend/packages/dashboard/src/core.js b/frontend/packages/dashboard/src/core.js
index d613a2e8..e58ed487 100644
--- a/frontend/packages/dashboard/src/core.js
+++ b/frontend/packages/dashboard/src/core.js
@@ -11,7 +11,7 @@
 // dashboard SYST3M tab); the dashboard keeps its own copies for now —
 // de-duplication + removing the SYST3M tab is a deliberate follow-up.
 
-import { $, el, form, openStream, initServerWarnings, bindAsyncForms } from './common.js';
+import { $, el, form, openStream, openBuildLogStream, initServerWarnings, bindAsyncForms } from './common.js';
 import { fmtAgo, fmtElapsed, truncate } from './util.js';
 import { createTabStrip } from '@hive/shared/tabs.js';
 
@@ -158,9 +158,10 @@ function rebuildQueueEntryFingerprint(entry, isChild) {
 }
 
 function renderRebuildQueue(s) {
+  const queue = s.rebuild_queue || [];
+  renderRebuildLiveLog(queue);
   const root = $('rebuild-queue-section');
   if (!root) return;
-  const queue = s.rebuild_queue || [];
 
   if (!queue.length) {
     rebuildQueueRowCache.clear();
@@ -294,6 +295,100 @@ function renderQueueEntry(entry, _byId, isChild) {
   return li;
 }
 
+// ─── running-rebuild live log ─────────────────────────────────────────────
+// One persistent live-log panel for the currently-running rebuild (the queue
+// runs one build at a time). Keyed to the running entry's build_log_id and
+// kept in its own container (#rebuild-live-log) so the queue's row re-render
+// — which rebuilds rows as the build step advances — never tears down the open
+// SSE stream. Reuses the build-log stream the logs page BUILD tab uses
+// (GET /api/build-logs/id/{id}/stream; frames {stdout_append, stderr_append,
+// done, status}); the stream replays accumulated output on connect, so
+// attaching mid-build still shows the backlog.
+let liveLogEs = null;
+let liveLogId = null;
+let liveLogDone = false;
+let liveLogCollapsed = false;
+
+function closeLiveLogStream() {
+  if (liveLogEs) { liveLogEs.close(); liveLogEs = null; }
+}
+
+function renderRebuildLiveLog(queue) {
+  const root = $('rebuild-live-log');
+  if (!root) return;
+  const running = (queue || []).find(
+    (e) => e.state === 'running' && e.build_log_id != null);
+
+  if (!running) {
+    // No running build with a log → tear down + hide.
+    closeLiveLogStream();
+    liveLogId = null;
+    liveLogDone = false;
+    if (!root.hidden) { root.hidden = true; root.replaceChildren(); }
+    return;
+  }
+  // Same build still streaming (or already finished) → leave the panel as-is.
+  // Re-renders fire on every queue mutation; don't reconnect mid-build, and
+  // don't reopen a stream that already sent `done`.
+  if (running.build_log_id === liveLogId && (liveLogEs || liveLogDone)) return;
+
+  // New running build → (re)build the panel + open its stream.
+  closeLiveLogStream();
+  liveLogId = running.build_log_id;
+  liveLogDone = false;
+  root.hidden = false;
+  root.replaceChildren();
+
+  const pre = el('pre', { class: 'rebuild-live-log-output' }, '');
+  pre.hidden = liveLogCollapsed;
+  const badge = el('span', { class: 'rebuild-live-log-badge rll-running' }, 'live');
+  const toggle = el('button', {
+    type: 'button',
+    class: 'rebuild-live-log-toggle',
+    'aria-expanded': String(!liveLogCollapsed),
+    title: liveLogCollapsed ? 'expand live log' : 'collapse live log',
+  }, liveLogCollapsed ? '▸' : '▾');
+  toggle.addEventListener('click', () => {
+    liveLogCollapsed = !liveLogCollapsed;
+    pre.hidden = liveLogCollapsed;
+    toggle.textContent = liveLogCollapsed ? '▸' : '▾';
+    toggle.setAttribute('aria-expanded', String(!liveLogCollapsed));
+    toggle.title = liveLogCollapsed ? 'expand live log' : 'collapse live log';
+  });
+  const header = el('div', { class: 'rebuild-live-log-header' },
+    toggle, ' ',
+    el('span', { class: 'rebuild-live-log-title' }, 'live build log — '),
+    el('code', { class: 'rqe-agent' }, running.agent),
+    ' ', el('span', { class: 'rqe-kind' }, running.kind || 'rebuild'),
+    ' ', badge, ' ',
+    el('a', {
+      class: 'rebuild-live-log-raw',
+      href: '/api/build-logs/id/' + running.build_log_id + '/raw',
+      download: 'build-log-' + running.build_log_id + '.txt',
+    }, '↓ raw'),
+  );
+  root.append(header, pre);
+
+  // Stream via the shared helper (same path the L0GS BUILD tab uses). It owns
+  // the append / sticky-scroll / stderr-separator / reconnect-replay logic; we
+  // just wire the badge. onDone keeps liveLogId + liveLogDone set so a
+  // re-render before the entry leaves 'running' won't reopen the finished
+  // stream — the next render with no running entry clears the panel.
+  liveLogEs = openBuildLogStream(running.build_log_id, pre, {
+    onDone: (status) => {
+      liveLogDone = true;
+      badge.className = 'rebuild-live-log-badge ' + (status === 'ok' ? 'rll-ok' : 'rll-fail');
+      badge.textContent = status;
+      liveLogEs = null;
+    },
+    onError: () => {
+      badge.className = 'rebuild-live-log-badge rll-fail';
+      badge.textContent = 'stream error';
+      liveLogEs = null;
+    },
+  });
+}
+
 // ─── kept state (tombstones) ──────────────────────────────────────────────
 function renderTombstones(s) {
   const root = $('tombstones-section');
diff --git a/frontend/packages/dashboard/src/logs.js b/frontend/packages/dashboard/src/logs.js
index 7d82be4a..924dd6d5 100644
--- a/frontend/packages/dashboard/src/logs.js
+++ b/frontend/packages/dashboard/src/logs.js
@@ -23,7 +23,7 @@
 // SYSTEM tabs so the operator knows how stale the output is.
 
 import {
-  $, el, fmtAgeSecs, openStream, initServerWarnings,
+  $, el, fmtAgeSecs, openStream, openBuildLogStream, initServerWarnings,
 } from './common.js';
 import { createTabStrip } from '@hive/shared/tabs.js';
 
@@ -138,53 +138,29 @@ import { createTabStrip } from '@hive/shared/tabs.js';
             const badge = el('span', { class: 'build-logs-live-badge badge badge-running' }, 'live');
             detail.append(badge, pre);
 
-            // Sticky-bottom: auto-scroll to the bottom as new lines arrive
-            // unless the operator has manually scrolled up. Track intent via
-            // the scroll event rather than recomputing on each append.
-            let atBottom = true;
-            pre.addEventListener('scroll', () => {
-              atBottom = pre.scrollHeight - pre.scrollTop - pre.clientHeight < 40;
-            });
-
-            streamEs = new EventSource('/api/build-logs/id/' + h.id + '/stream');
-            let stdoutLen = 0, stderrLen = 0;
-            streamEs.onmessage = (e) => {
-              let frame;
-              try { frame = JSON.parse(e.data); } catch { return; }
-              if (frame.stdout_append) {
-                pre.textContent += frame.stdout_append;
-                if (atBottom) pre.scrollTop = pre.scrollHeight;
-                stdoutLen += frame.stdout_append.length;
-              }
-              if (frame.stderr_append) {
-                if (stderrLen === 0) pre.textContent += '\n--- stderr ---\n';
-                pre.textContent += frame.stderr_append;
-                if (atBottom) pre.scrollTop = pre.scrollHeight;
-                stderrLen += frame.stderr_append.length;
-              }
-              if (frame.done) {
-                // Stop the elapsed-time ticker and show the final duration.
+            // Stream via the shared helper (also used by the C0R3 rebuild-queue
+            // live-log panel); it owns the append / sticky-scroll /
+            // stderr-separator / reconnect-replay logic. We wire the badge +
+            // the row's elapsed-time ticker here.
+            streamEs = openBuildLogStream(h.id, pre, {
+              onDone: (status) => {
                 if (durTimer) { clearInterval(durTimer); durTimer = null; }
                 if (h.started_at) {
                   const elapsed = Math.floor(Date.now() / 1000) - h.started_at;
                   runtime.textContent = fmtDuration(Math.max(0, elapsed));
                 }
-                badge.className = frame.status === 'ok' ? 'badge badge-ok' : 'badge badge-fail';
-                badge.textContent = frame.status || 'done';
-                streamEs.close(); streamEs = null;
+                badge.className = status === 'ok' ? 'badge badge-ok' : 'badge badge-fail';
+                badge.textContent = status;
+                streamEs = null;
                 detail.dataset.loaded = '1';
-              }
-            };
-            streamEs.onerror = () => {
-              if (streamEs && streamEs.readyState === EventSource.CONNECTING) {
-                pre.textContent = ''; stdoutLen = 0; stderrLen = 0;
-              } else {
+              },
+              onError: () => {
                 if (durTimer) { clearInterval(durTimer); durTimer = null; }
                 badge.textContent = 'stream error';
                 badge.className = 'badge badge-fail';
-                if (streamEs) { streamEs.close(); streamEs = null; }
-              }
-            };
+                streamEs = null;
+              },
+            });
           } else {
             const pre = el('pre', { class: 'build-logs-output' }, 'fetching…');
             detail.append(pre);