The sidebar already supports multi-select, so deletion now resolves the context-clicked selected connection set before confirming. Connection removal gained a batched path to persist once while pruning sidebar layout, pins, active state, connection errors, and stale selection for every removed connection.
Constraint: No new dependencies and existing single-connection delete behavior must remain available.\nRejected: Delete every selected tree item regardless of type | mixed tree selections could unexpectedly remove connections while table/object deletion has separate SQL confirmation behavior.\nConfidence: high\nScope-risk: narrow\nTested: pnpm fmt; pnpm test; pnpm typecheck; pnpm lint; pnpm build\nNot-tested: Manual desktop UI interaction against a running Tauri window
Co-authored-by: caisin <caisin@caisins-Mac-mini.local>