docs: describe hive-claude split, InfiniteSession, deferred compact, web_ui dir

docs/web-ui/agent.md

@@ -261,9 +261,11 @@ Slash commands today:
 - `/cancel` — `POST /api/cancel` → host shellouts `pkill -INT
   claude`, emits a Note. Also surfaces as a `■ cancel turn`
   button in the state row while state=thinking.
-- `/compact` — `POST /api/compact` → host spawns
-  `turn::compact_session` in the background; output streams into
-  the live panel.
+- `/compact` — `POST /api/compact` → sets the deferred
+  `Bus::request_compact()` flag and returns immediately. The harness
+  runs the `/compact` at the next turn boundary (end of the in-flight
+  turn, or `turn::run_pending_compact` when idle); output streams into
+  the live panel. Works mid-turn, not only when idle.
 - `/model <name>` — `POST /api/model` flipping `Bus::set_model`.
   Takes effect on the next turn; persisted to
   `/state/hyperhive-model` so the override survives harness
@@ -450,7 +452,7 @@ token-efficiency chips derived from the bucket sums: **cache
 hit-rate** (`cache_read` over all input-side tokens) and
 **tokens/turn**. When `reminder_stats` is present (fetched via
 `ReminderRollup` RPC and merged into the snapshot in
-`web_ui.rs::api_stats`) three more chips appear: **reminders
+`web_ui/stats.rs::api_stats`) three more chips appear: **reminders
 scheduled / delivered / pending** for the window. When the
 per-session capture has data, a **first-turn ctx** chip shows the
 input tokens of the most recent fresh claude session's first turn —