feat: wire context broker files category to FileBrowser, fix media state check

- sanitizeFiles() now fetches real data from FileBrowser (usage, folders, recent files)
- Fixed media state check to include 'running' and 'stopped' states, not just 'installed'
- Removed unused bottomPosition variable in CloudFolder.vue

Co-Authored-By: Claude Opus 4.6 <noreply@anthropic.com>

.claude/plans/reflective-meandering-castle.md

@@ -84,7 +84,7 @@ After getting Claude Max OAuth working on the live server, hardening the deploy
 - **Change**: Add search input with `ref('')`. Filter `sortedPackageEntries` by query against `manifest.title` and `manifest.description.short`. Style like Marketplace search.
 - **Verify**: Type in search — only matching apps shown
 
-### Task 15: AIUI context broker integration test
+### Task 15: AIUI context broker integration test [DONE]
 - **Files**: `neode-ui/src/services/contextBroker.ts`
 - **Change**: Verify each category (apps, system, network, bitcoin, wallet, media, files, search, ai-local, notes) returns real data. Wire any that send placeholder/empty data to real store data.
 - **Verify**: Chat mode, ask AI about installed apps, gets real context