v1.13.11-b: convert raw broker.publish call sites to typed publishFrame

Second half of the WebSocket-frame-typing batch. Phase A (8b568b3)
landed the schemas + frontend receive validation + publishFrame /
publishUserFrame wrappers. This commit converts the existing publish
call sites so every server-emitted WS frame now goes through Zod
validation at the broker boundary.

Conversion strategy: change once in the inference / skills adapters in
index.ts (so ctx.publish / ctx.publishUser propagate to publishFrame /
publishUserFrame for ALL ~50 inference + auto_name call sites in one
move), then bulk-replace the ~30 direct broker.publish* call sites in
the routes + compaction.

Files touched:
- index.ts: inference + skills route adapters now call publishFrame /
  publishUserFrame internally; raw broker.publishUser('default', ...)
  call in the stale-row sweeper also converted.
- routes/projects.ts (7 sites), routes/chats.ts (9 sites),
  routes/sessions.ts (8 sites): all broker.publishUser(...) → broker.
  publishUserFrame(...).
- services/compaction.ts (3 sites): 2 publishUser, 1 publish.

Real protocol drift surfaced by Zod, fixed in the same commit:

  services/compaction.ts:442 was publishing chat_status with status:
  'working' — the v1.12.1 chat_status widening (CLAUDE.md:55) dropped
  this enum value in favor of streaming|tool_running|waiting_for_input|
  idle|error. The compaction.ts site was missed during v1.12.1; the
  frame had been published with an unknown enum value ever since (the
  frontend useChatStatus quietly ignored it). Corrected to 'streaming'
  — compaction's LLM call has the same dot-state semantic as an
  inference turn. This is exactly the class of bug v1.13.11 exists to
  catch.

Schema relaxation: OpaqueObject (the bag type for nested entities like
Project / Chat / Session / WorkspacePane embedded in WS frames) was
z.object({}).passthrough(), which Zod outputs as {} & {[k:string]:
unknown}. The strict-typed entities don't have index signatures so
TypeScript rejected them at publishFrame call sites. Relaxed to
z.unknown() — runtime validation still accepts the value, dev-time
narrowing happens via the existing hand-maintained types. Trade-off:
frame-level drift detection stays sharp; nested-payload validation
goes to follow-up work as the brief intended.

Schema audit:
  grep -rn "broker\.publish(\|broker\.publishUser(" apps/server/src \
    --include="*.ts" | grep -v "broker.ts\|__tests__\|.bak"
  → 0 results. Every server publish goes through publishFrame /
  publishUserFrame. The remaining ctx.publish / ctx.publishUser sites
  in services/inference/* + services/auto_name.ts route through the
  index.ts adapter, which calls publishFrame internally.

Tests: 219/219 pass (unchanged from v1.13.11-a; the Phase B conversion
is mechanical and doesn't add test cases).

Smoke: clean container boot, no ws-frame-validation-failed entries
under normal traffic. Sidebar list refresh + agent picker open both
pass through useUserEvents without drops.

~70 LoC across 7 files. v1.13.11 closed.

apps/server/src/routes/chats.ts

@@ -102,7 +102,7 @@ export function registerChatRoutes(
         VALUES (${req.params.id}, ${parsed.data.name ?? null}, 'open')
         RETURNING id, session_id, name, status, created_at, updated_at
       `;
-      broker.publishUser('default', {
+      broker.publishUserFrame('default', {
         type: 'chat_created',
         chat: chat!,
         session_id: req.params.id,
@@ -132,7 +132,7 @@ export function registerChatRoutes(
         return { error: 'chat not found' };
       }
       const chat = rows[0]!;
-      broker.publishUser('default', {
+      broker.publishUserFrame('default', {
         type: 'chat_updated',
         chat_id: chat.id,
         session_id: chat.session_id,
@@ -162,7 +162,7 @@ export function registerChatRoutes(
       `;
       const ids = rows.map((r) => r.id);
       for (const id of ids) {
-        broker.publishUser('default', {
+        broker.publishUserFrame('default', {
           type: 'chat_archived',
           chat_id: id,
           session_id: req.params.id,
@@ -203,7 +203,7 @@ export function registerChatRoutes(
         return { error: 'chat not found or already archived' };
       }
       const row = rows[0]!;
-      broker.publishUser('default', {
+      broker.publishUserFrame('default', {
         type: 'chat_archived',
         chat_id: row.id,
         session_id: row.session_id,
@@ -226,7 +226,7 @@ export function registerChatRoutes(
         return { error: 'chat not found or not archived' };
       }
       const chat = rows[0]!;
-      broker.publishUser('default', { type: 'chat_unarchived', chat });
+      broker.publishUserFrame('default', { type: 'chat_unarchived', chat });
       return chat;
     }
   );
@@ -243,7 +243,7 @@ export function registerChatRoutes(
         return { error: 'chat not found' };
       }
       const row = result[0]!;
-      broker.publishUser('default', {
+      broker.publishUserFrame('default', {
         type: 'chat_deleted',
         chat_id: row.id,
         session_id: row.session_id,
@@ -338,7 +338,7 @@ export function registerChatRoutes(
         return chat!;
       });
 
-      broker.publishUser('default', {
+      broker.publishUserFrame('default', {
         type: 'chat_created',
         chat: newChat,
         session_id: source.session_id,
@@ -400,13 +400,13 @@ export function registerChatRoutes(
         reply.code(409);
         return { error: 'message status changed mid-request' };
       }
-      broker.publishUser('default', {
+      broker.publishUserFrame('default', {
         type: 'chat_status',
         chat_id: msg.chat_id,
         status: 'idle',
         at: new Date().toISOString(),
       });
-      broker.publish(msg.session_id, {
+      broker.publishFrame(msg.session_id, {
         type: 'message_complete',
         message_id: msg.id,
         chat_id: msg.chat_id,