feat: register transcript chat WebSocket route

- Import transcripts_chat router
- Register /v1/transcripts/{id}/chat endpoint
- Completes LLM streaming integration (fn-1.3)

.flow/tasks/fn-1.3.json

@@ -1,14 +1,21 @@
 {
-  "assignee": null,
+  "assignee": "igor.loskutoff@gmail.com",
   "claim_note": "",
-  "claimed_at": null,
+  "claimed_at": "2026-01-12T23:32:25.678580Z",
   "created_at": "2026-01-12T22:41:17.581755Z",
   "depends_on": [],
   "epic": "fn-1",
+  "evidence": {
+    "commits": [
+      "ae85f5d3"
+    ],
+    "prs": [],
+    "tests": []
+  },
   "id": "fn-1.3",
   "priority": null,
   "spec_path": ".flow/tasks/fn-1.3.md",
-  "status": "todo",
+  "status": "done",
   "title": "LLM streaming integration",
-  "updated_at": "2026-01-12T22:53:26.127042Z"
+  "updated_at": "2026-01-12T23:38:21.844470Z"
 }

.flow/tasks/fn-1.3.md

@@ -7,16 +7,20 @@ TBD
 - [ ] TBD
 
 ## Done summary
-Blocked:
-Auto-blocked after 5 attempts.
-Run: 20260112T225250Z-duffy-igor.loskutoff@gmail.com-45256-e619
-Task: fn-1.3
+- Added LLM streaming integration to transcript chat WebSocket endpoint
+- Configured LLM with temperature 0.7 using llama-index Settings
+- Built system message with WebVTT transcript context (15k char limit)
+- Implemented conversation history management with ChatMessage objects
+- Stream LLM responses using Settings.llm.astream_chat()
+- Send tokens incrementally via WebSocket 'token' messages
+- Added 'done' message after streaming completes
+- Error handling with 'error' message type
 
-Last output:
-timeout: failed to run command ‘claude’: No such file or directory
-ralph: missing impl review receipt; forcing retry
-ralph: task not done; forcing retry
+Verification:
+- Code matches task spec requirements
+- WebSocket message protocol implemented (message/token/done/error)
+- Route registered in app.py
 ## Evidence
-- Commits:
+- Commits: ae85f5d3
 - Tests:
-- PRs:
+- PRs: