fix(mise-init): unblock the bootstrap agent + surface live agent output

The mise-init agent wedged on launch and the UI reported it green. Three
distinct problems, fixed together:

1. Onboarding wedge (the proximate bug). A freshly-installed claude opens
   interactive setup — theme picker, then a folder-trust prompt — before
   the REPL. A detached tmux agent has no one to answer it, so it sat on
   the theme picker forever while agents.status said 'working'. New
   control.claude_config.ensure_onboarded() marks onboarding complete and
   trusts the working dir in ~/.claude.json (merge-only, so the login
   flow's oauthAccount survives); spawn() calls it before launching.

2. Config-name gate. control/mise.py only recognized `.mise.toml`, so a
   repo shipping `mise.toml` (no dot) — or config under `.config/mise/` —
   failed the [tasks.test] gate even when healthy. It now accepts the
   filenames mise itself reads and scans them all for the test task.

3. "Done" != done (the design gap). A spawned agent's real state lives in
   its tmux pane, but the socket is control-container-only, so the API
   couldn't see it. The worker now snapshots each working agent's pane
   tail (last ~40 lines) into two new agents columns (last_output,
   output_at, migration 0007) on its existing poll loop; the API
   serializes them and AgentsSection renders a live-output <pre> under
   each running agent. A wedged agent now shows the theme picker instead
   of a misleading green badge.

Tests: home-dir writes are isolated to tmp in conftest; added coverage for
claude_config seeding/merge, the mise filename set, the worker capture
(including dead-session skip), and the API serialization.

Co-Authored-By: Claude Opus 4.8 <noreply@anthropic.com>
Claude-Session: https://claude.ai/code/session_01BxKY28XKCM6o4ag3nmaVsZ

tests/test_api_projects_agents.py

@@ -32,6 +32,24 @@ def test_create_and_list_agent(client, auth):
     assert [a["name"] for a in agents] == ["api"]
 
 
+def test_agent_serializes_live_output_snapshot(client, auth, engine):
+    from handler.db import repository as repo
+
+    _mk_project(client, auth)
+    client.post(
+        "/projects/proj/agents",
+        json={"name": "api", "working_dir": "/tmp/proj/api", "status": "working"},
+        headers=auth,
+    )
+    with engine.begin() as conn:
+        agent = repo.get_agent_by_name(conn, "proj", "api")
+        repo.update_agent_output(conn, agent["id"], "boot\nTheme picker")
+
+    listed = client.get("/projects/proj/agents", headers=auth).json()[0]
+    assert listed["last_output"] == "boot\nTheme picker"
+    assert listed["output_at"] is not None
+
+
 def test_agent_under_missing_project_is_404(client, auth):
     r = client.get("/projects/ghost/agents", headers=auth)
     assert r.status_code == 404