fix: init workspace logic (#1471)

apps/web/src/shared/index.ts

@@ -45,6 +45,11 @@ export type BaseProvider = {
   cleanup: () => void;
 };
 
+export interface BackgroundProvider extends BaseProvider {
+  background: true;
+  callbacks: Set<() => void>;
+}
+
 export interface AffineDownloadProvider extends BaseProvider {
   flavour: 'affine-download';
 }
@@ -53,7 +58,7 @@ export interface BroadCastChannelProvider extends BaseProvider {
   flavour: 'broadcast-channel';
 }
 
-export interface LocalIndexedDBProvider extends BaseProvider {
+export interface LocalIndexedDBProvider extends BackgroundProvider {
   flavour: 'local-indexeddb';
 }