agent badges: split into ctx (last-inference) + cost (cumulative)

the existing ctx badge was misnamed: it summed `result.usage`, which is
the cumulative tokens billed across every inference in the turn. for
tool-heavy turns that easily exceeds the model's context window (a 600k
cached prefix × 15 sub-calls = 9M cache_read), making it useless as a
"should i compact?" signal.

now two separate badges:

  ctx · N    last inference's prompt size = actual context window in
             use right now. parsed from each `assistant` event's
             `.message.usage`; the harness tracks the most recent one
             across the stream and snapshots it when the `result`
             event lands.

  cost · M   cumulative tokens billed across the whole turn (the
             previous behaviour, now correctly labelled).

both update via a single `TokenUsageChanged { ctx, cost }` SSE event at
turn-end. turn_stats grows four columns (`last_input_tokens`,
`last_output_tokens`, `last_cache_read_input_tokens`,
`last_cache_creation_input_tokens`) so the cold-load seed can paint both
badges on page load. migrations run try-and-ignore ALTERs so existing
agent dbs catch up; pre-migration rows have last-inference zeros and
yield no `ctx` seed (badge stays empty until next turn) rather than a
misleading 0.

hive-ag3nt/assets/index.html

@@ -18,6 +18,7 @@
     <span id="state-badge" class="state-badge state-loading">… booting</span>
     <span id="model-chip" class="model-chip" hidden></span>
     <span id="ctx-badge" class="ctx-badge" hidden title="tokens used in the current context window"></span>
+    <span id="cost-badge" class="ctx-badge" hidden title="cumulative tokens billed across the last turn (sum across every inference; tool-heavy turns rebill the cached prompt per call)"></span>
     <span id="last-turn" class="last-turn" hidden></span>
     <button type="button" id="cancel-btn" class="btn-cancel-turn" hidden>■ cancel turn</button>
     <button type="button" id="new-session-btn" class="btn-new-session"