feat(profile): /api/profile + eligibility filter + inference framework (ADR-0014 steps 4-6)

Step 4 — /api/profile read-through API:
  GET  /api/profile          → { user, prefs, consents, contexts }
  PATCH /api/profile/prefs/:scope  upsert user_preferences (source='user')
  PATCH /api/profile/consents      grant / revoke consent keys
  PATCH /api/profile/contexts      create / activate / deactivate contexts
  Legacy consentGiven bit folded in as data:core fallback.

Step 5 — registry-driven eligibility filter:
  fetchRegistry() exported from agent-registry.ts.
  profile/eligibility.ts: getEligibleAgentIds(userId) — filters by required
  consents, silenced_in_contexts, and user_preferences[enabled=false].
  fetchOrchestratorTip filters agent_outputs to eligible set before calling
  ml/serving /recommend. Fail-closed: registry unavailable → empty set.

Step 6 — shared context-inference framework (#111) + time-of-day proof (#112):
  ml/agents/inference/: UserHistory, FeedbackEvent, run_inference().
  Framework: cold-start, min_history gating, error fallback, structured logs.
  TimeOfDayAgent v1.1.0: inferred_params=[preferred_hour]; also reads
  quiet_start/quiet_end from agent_prefs. agent_prefs injected by TS caller.
  AgentInput gains agent_prefs field.
  ml/serving: POST /agents/{agent_id}/infer endpoint.
  agent-outputs.ts computeAndStore: loads prefs before compute, calls /infer
  after, persists results (source='inferred'); user overrides never touched.

Co-Authored-By: Claude Sonnet 4.6 <noreply@anthropic.com>

ml/serving/tests/test_infer_endpoint.py

@@ -0,0 +1,52 @@
+"""POST /agents/{agent_id}/infer — inference framework endpoint."""
+import pytest
+from httpx import AsyncClient, ASGITransport
+
+from main import app
+
+
+@pytest.mark.anyio
+async def test_infer_time_of_day_cold_start():
+    """Fewer than min_history events → cold_start_default for preferred_hour."""
+    transport = ASGITransport(app=app)
+    async with AsyncClient(transport=transport, base_url="http://test") as client:
+        resp = await client.post("/agents/time-of-day/infer", json={
+            "user_id": "u1",
+            "feedback_history": [
+                {"action": "done", "dwell_ms": 60000, "created_at": "2026-05-01T09:00:00+00:00"},
+            ] * 5,  # 5 < min_history=10
+        })
+    assert resp.status_code == 200
+    body = resp.json()
+    assert body["agent_id"] == "time-of-day"
+    assert body["inferred_prefs"]["preferred_hour"] is None
+
+
+@pytest.mark.anyio
+async def test_infer_time_of_day_enough_history():
+    """10+ events → preferred_hour is inferred as the mode done-hour."""
+    events = [{"action": "done", "dwell_ms": 60000, "created_at": "2026-05-01T09:00:00+00:00"}] * 10
+    transport = ASGITransport(app=app)
+    async with AsyncClient(transport=transport, base_url="http://test") as client:
+        resp = await client.post("/agents/time-of-day/infer", json={"user_id": "u1", "feedback_history": events})
+    assert resp.status_code == 200
+    body = resp.json()
+    assert body["inferred_prefs"]["preferred_hour"] == 9
+
+
+@pytest.mark.anyio
+async def test_infer_agent_with_no_inferred_params():
+    """Agents with no inferred_params return an empty dict."""
+    transport = ASGITransport(app=app)
+    async with AsyncClient(transport=transport, base_url="http://test") as client:
+        resp = await client.post("/agents/overdue-task/infer", json={"user_id": "u1", "feedback_history": []})
+    assert resp.status_code == 200
+    assert resp.json()["inferred_prefs"] == {}
+
+
+@pytest.mark.anyio
+async def test_infer_unknown_agent_404():
+    transport = ASGITransport(app=app)
+    async with AsyncClient(transport=transport, base_url="http://test") as client:
+        resp = await client.post("/agents/ghost/infer", json={"user_id": "u1", "feedback_history": []})
+    assert resp.status_code == 404