Admin view in the web UI

docs/plan.md

@@ -474,7 +474,7 @@ Record transcripts from the spike as the seed of the contract test suite.
 ### Milestones
 
 - **M0 — Skeleton.** launchd service, tailscale serve auth, SQLite schema, OpenAPI spec, projects, tasks, worktree create/delete, event log, SSE stream with resume, embedded SPA shell, basic server observability.
-  - **Status: done**, and running as a service on the Mac Studio. Observability is exposed through `GET /api/admin/status` only; the SPA has no admin view yet.
+  - **Status: done**, and running as a service on the Mac Studio. Observability covers queue state and vendor rate-limit status, through `GET /api/admin/status` and the SPA's Admin view; process liveness and stuck-process detection, adapter parse errors, and per-task snapshot counts and disk usage are not done.
 - **M1 — One agent end to end (Claude).** Sessions, streaming, messaging, the interface coverage for Claude, the `ask_human` MCP tool, turn summaries, inbox with all views and response types, web push notifications, restart-and-resume, concurrency caps.
   - **Done:** sessions, streaming, messaging, interrupt; `ask_human` with validation; each turn's final message filed to the inbox as its summary; inbox with global, project, and task views and every response type, answered as one batch and delivered to the agent as one message; restart-and-resume; global and per-vendor caps with queueing; rate limits as their own inbox state; the web UI (two panes, task switcher, transcript, inbox) with Markdown rendering; the session instructions from "Session configuration", given as an appended system prompt and a per-turn reminder; per-turn commits by byre; bouncing questions asked in plain prose.
   - **Not done:** web push notifications. Compaction is done, as a handoff into a fresh session; model switching is done, per message; image input is done, pasted or dropped into the composer and stored as blobs.