docs(web-search): record MLW-02 integration

.project-docs/30-worklog/tasks/20260831-web-search-client-integration-7d2f5b94.md

@@ -33,6 +33,11 @@
   - Product commit: `1edd75e2465ae8bfbba87d8e077365daee144920`; source and product trees are exact-equal at `b17a16ff1c46706980bd162af3678176b3a93e70` before the repository-local Integration Documentation Gate removes the duplicate foreign task record.
   - Delivered the provider-neutral `MarketplaceHostedAdmissionResolver` and an admission-only Game Resource refactor. The helper resolves exact installed release/admission identity from the trusted frozen worker snapshot, Package Store, selected channel, Marketplace resolve, current account, and MakeLore version; it owns no Provider, payload, billing, route, Web Search client, composition, Renderer, or Pi behavior.
   - The clean source branch retains its complete task record. This coordinator checkpoint removes only the duplicate cherry-picked copy and records integration evidence here.
+- MLW-02 source task `20260901-web-search-mlw02-client-c8e4a2d1` was integrated from exact frontier `f3874e90706692094f0f22fca465923143e23c7e`.
+  - Source commit: `94f98e03b9e4e59eb2de07aa9d0e68ec0c74de8e` (sole parent `f3874e90706692094f0f22fca465923143e23c7e`).
+  - Product commit: `fc68cf295131d8f73556bef59fdeae61239a649e`; source and product trees are exact-equal at `5c14e92224e8441d18a983dd7099cd6d76f83e85` before this Integration Documentation Gate removes the duplicate foreign task record.
+  - Delivered the Main-only closed Web Search client, bounded same-operation reconciliation, code-owned adapter, and the minimal generic billing/conversation/Registry support for `not_started` and Main-only `receipt_unavailable`. The adapter uses the MLW-01 admission helper and trusted project/request identity; no composition, Renderer, Pi, Package Store/effective resolver, Provider authority, or server path changed.
+  - Final source review aligned source title/URL bounds with the frozen Server DTO and preserved both MLW-01 typed admission failures. The clean source branch retains its complete task record; integration evidence is consolidated here.
 
 ## Verification
 
@@ -41,10 +46,13 @@
 - MLW-01 focused admission/Game Resource suites passed `12/12`; adjacent six-file coding-plugin/Game Resource regression passed `74/74`.
 - MLW-01 full unit suite passed `212 files / 1728 tests`, with two staged-runtime skips; the pressure suite passed `1/1`. Typecheck passed. Full lint passed with zero errors and the five pre-existing Home/Makelore warnings; owned-file lint/compile, diff, project-docs, and document-drift gates passed.
 - The coordinator's optional duplicate focused run stopped before collection because this isolated worktree has no executable `vitest`; no test or product failure occurred and no dependency/source file changed. The Integration Gate instead adopts the clean source's exact-tree test evidence above rather than performing an unrelated dependency installation.
+- MLW-02 final focused suite passed `3 files / 35 tests`; adjacent hosted admission, Game Resource, Registry, conversation, Marketplace-client, and timeline regression passed `11 files / 114 tests`.
+- MLW-02 full unit suite passed `214 files / 1748 tests`, with two staged-runtime skips; pressure passed `1/1`. Typecheck, owned lint, full lint (zero errors and the same five existing warnings), and Vite Renderer/Main/Preload/utility builds passed.
+- MLW-02 diff, project-docs, document-drift, sole-parent, clean-worktree, and `READY_FOR_INTEGRATION` gates passed. No live Provider call or production activation occurred.
 
 ## Follow-ups
 
-- Start MLW-02 from the clean post-MLW-01 coordinator frontier. Keep MLW-03 composition, Renderer, Pi worker, and package-proof ownership closed until MLW-02 is integrated.
+- Start MLW-03 only from the clean post-MLW-02 coordinator frontier. MLW-03 owns composition, the generic timeline billing projection, dynamic tool/package proof, README, and necessary focused/E2E evidence; it must not reopen MLW-01/02 authority.
 - Keep the live OpenAI XWS-01 group and production activation closed pending explicit external inputs and user authorization.
 
 ## Promotion Candidates