feat: Claude Agent SDK backend + clean-room PostgresSessionStore (v2.7.5)

Lands the lean-SDK direction (boocode_code_review_v2 §1 #9) behind a flag.
Adds @anthropic-ai/claude-agent-sdk@0.3.159 (Commercial Terms, runtime dep).

- PostgresSessionStore: clean-room impl of the SDK's real SessionStore type
  over a new claude_session_entries table. Typechecks against the SDK type;
  8 DB-integration tests.
- ClaudeSdkBackend (implements AgentBackend): one warm query() per (chat,claude)
  in streaming-input mode via a pushable async-iterable pump, sessionStore +
  resume continuity, pure mapSdkMessage->AgentEvent, session_id from init,
  usage/cost onto agent_sessions (backend CHECK gains 'claude_sdk').
- Routing env-gated by CLAUDE_SDK_BACKEND (default off) -> PTY path UNCHANGED.
- Built against real SDK 0.3.159 types (install paid off: partial=stream_event
  needing includePartialMessages, MessageParam, result error arm).
- Fix latent test-infra deadlock: serialize DB suites (fileParallelism:false).

Coder 269 passing default / 290 with DB; tsc clean vs SDK types; builds clean.
LIVE pump + resume + actual claude turn need a host smoke (CLAUDE_SDK_BACKEND=1
+ claude binary + auth). zod peer-dep wants ^4 (workspace 3.25). Builds on v2.7.4.

Co-Authored-By: Claude Opus 4.8 (1M context) <noreply@anthropic.com>

apps/coder/src/services/provider-registry.ts

@@ -38,6 +38,12 @@ export const PROVIDERS: ProviderDef[] = [
   },
   {
     name: 'claude',
+    // transport stays 'pty' — the DEFAULT dispatch path (one-shot `claude
+    // --output-format stream-json`). claude-sdk-sessionstore #9 (Part 2) adds a warm
+    // Claude-Agent-SDK backend (services/backends/claude-sdk.ts) routed ONLY when the
+    // `CLAUDE_SDK_BACKEND` env flag is truthy AND the task is a chat tab; with the flag
+    // off (production default) claude always uses this PTY path, so the transport label
+    // is left unchanged. Flip the env var on a host (after a live smoke) to opt in.
     label: 'Claude Code',
     transport: 'pty',
     modelSource: 'static',