a134a0fc08
The refactor in fafeaf3 moved background tasks to Starlette server lifespan
but broke nc_get_vector_sync_status because it still looked for streams in
FastMCP's AppContext (lifespan_context).
Add VectorSyncState module singleton to bridge the lifespans:
- starlette_lifespan sets the singleton when starting background tasks
- app_lifespan_basic reads from singleton and includes in AppContext
- MCP tools can now access document_receive_stream for pending count
🤖 Generated with [Claude Code](https://claude.com/claude-code)
Co-Authored-By: Claude <noreply@anthropic.com>