Keep browser sign-ins across tabs and restarts (#2089)

* feat(desktop): share persistent browser data across tabs

Keep browser sign-ins and site storage across tabs and app restarts, with a Settings action to clear the shared profile.

* fix(settings): prevent duplicate browser data clears

* fix(desktop): complete browser data cleanup

Clear legacy per-tab profiles after upgrades and localize the browser data settings in every supported language.

* fix(desktop): close browser profile cleanup races

packages/app/src/screens/workspace/workspace-screen.tsx

@@ -1970,7 +1970,7 @@ function WorkspaceScreenContent({
         const { browserId } = input.target;
         useBrowserStore.getState().removeBrowser(browserId);
         removeResidentBrowserWebview(browserId);
-        void getDesktopHost()?.browser?.clearPartition?.(browserId);
+        void getDesktopHost()?.browser?.unregisterWorkspaceBrowser?.(browserId);
       }
       closeWorkspaceTab(persistenceKey, normalizedTabId);
     },