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_worker.py

@@ -211,6 +211,45 @@ def test_bad_command_is_recorded_failed_not_raised(env):
     assert "agent name" in failed["error"]
 
 
+def test_capture_agent_output_snapshots_working_agents(env, monkeypatch):
+    with get_engine().begin() as conn:
+        repo.create_project(conn, "p", "/tmp/p")
+        agent = repo.create_agent(conn, "p", "api", "/tmp/p/api", status="working")
+
+    monkeypatch.setattr(worker.tmux, "has_session", lambda name: True)
+    monkeypatch.setattr(
+        worker.tmux, "capture_pane", lambda name, escapes=False: "boot\nTheme picker\n\n\n"
+    )
+
+    assert worker.capture_agent_output() == 1
+    with get_engine().begin() as conn:
+        row = repo.get_agent_by_id(conn, agent["id"])
+    # The tail is stored with trailing blank lines trimmed.
+    assert row["last_output"] == "boot\nTheme picker"
+    assert row["output_at"] is not None
+
+
+def test_capture_agent_output_skips_dead_sessions_and_nonworking(env, monkeypatch):
+    with get_engine().begin() as conn:
+        repo.create_project(conn, "p", "/tmp/p")
+        repo.create_agent(conn, "p", "gone", "/tmp/p/gone", status="working")
+        done = repo.create_agent(conn, "p", "done", "/tmp/p/done", status="done")
+
+    captured = []
+    monkeypatch.setattr(worker.tmux, "has_session", lambda name: False)
+    monkeypatch.setattr(
+        worker.tmux,
+        "capture_pane",
+        lambda name, escapes=False: captured.append(name) or "x",
+    )
+
+    # The working agent's session is dead (skipped); the done agent isn't queried at all.
+    assert worker.capture_agent_output() == 0
+    assert captured == []
+    with get_engine().begin() as conn:
+        assert repo.get_agent_by_id(conn, done["id"])["last_output"] is None
+
+
 def test_drain_processes_multiple_then_stops(env, monkeypatch):
     _seed_project()
     monkeypatch.setattr(poller, "sweep", lambda project_id=None: {"checked": 0})