Record local GitHub task source verification

Co-authored-by: Orca <help@stably.ai>

notes/host-context-implementation-checklist.md

@@ -131,7 +131,7 @@ Done means: Local, SSH, remote server, and future cloud VMs share one Host model
 - [x] Unit-test source-context serialization, cache keys, and provider routing.
 - [x] Unit-test automation migration from repo-id/path-based records.
 - [x] Unit-test workspace creation selectors for logical project plus host setup.
-- [ ] Integration-test local project with local provider credentials.
+- [x] Integration-test local project with local provider credentials.
 - [x] Integration-test SSH project setup, clone/browse/create flows, and workspace creation.
 - [x] Integration-test project available on local and SSH hosts, then create workspaces on each host.
 - [x] Integration-test task source on Host A with workspace run on Host B.
@@ -278,3 +278,4 @@ Done means: reviewers and future agents can understand the vision, implementatio
 - [x] 2026-06-13: Removed the redundant locked SSH target row from the Add Project remote-path step after the host has already been selected, while preserving a compact reconnect action for disconnected locked hosts. Fresh Electron validation connected a Docker SSH target through Orca's relay IPC, added `/home/orca/host-context-e2e-local` via Add Project, and created a remote SSH worktree at `/home/orca/goldfish`; screenshots were added to the dark-background report. Verified with focused Add Project tests, targeted oxlint, and remote filesystem checks.
 - [x] 2026-06-13: Extended Tasks source availability reasons so missing provider auth, unavailable source tooling, and unsupported providers can surface as distinct source-host states instead of generic connection/version failures. The checklist row remains partial until runtime/provider preflight feeds these reasons end to end. Verified with focused source-summary tests and targeted oxlint.
 - [x] 2026-06-13: Fed desktop-owned GitHub/GitLab preflight into Tasks source availability for local and SSH project sources, so missing `gh`/`glab` or missing CLI auth disables the affected provider with source-tool/auth-specific copy. Runtime-owned sources intentionally skip desktop preflight and continue to rely on runtime capability/fetch ownership. Verified with provider availability tests, Tasks source summary tests, TaskPage source-boundary tests, targeted oxlint, and full `pnpm run typecheck`.
+- [x] 2026-06-13: Electron-verified a local project with local GitHub credentials: added the local Orca worktree to the running dev app, confirmed `gh` auth for `Jinwoo-H`, fetched 10 GitHub work items through explicit `TaskSourceContext { provider: github, hostId: local }`, verified the local source-scoped cache key, and captured the rendered Tasks page showing GitHub issues for the local project.

notes/multihost-remote-verification-report.html

@@ -183,6 +183,12 @@
             <code>/home/orca/goldfish</code> as a Git worktree on branch <code>goldfish</code>,
             and Orca activated <code>repo-id::/home/orca/goldfish</code>.
           </li>
+          <li class="pass">
+            Added the local Orca worktree to the same dev profile, confirmed local
+            <code>gh</code> auth for <code>Jinwoo-H</code>, fetched 10 GitHub work items with
+            explicit <code>hostId: local</code> task source context, and verified the cache key used
+            a local GitHub source scope.
+          </li>
         </ul>
       </section>
 
@@ -309,6 +315,10 @@
           <img src="artifacts/host-context-electron-ssh-worktree-created.png" alt="SSH worktree created" />
           <figcaption>New Worktree from the SSH project created and activated a remote SSH worktree.</figcaption>
         </figure>
+        <figure>
+          <img src="artifacts/host-context-electron-local-github-tasks-open.png" alt="Local GitHub Tasks source" />
+          <figcaption>Local project with local GitHub credentials rendered GitHub issues in Tasks.</figcaption>
+        </figure>
       </section>
     </main>
   </body>