feat(sync): follow the visit sync on the dashboard

Show the "Syncing with Steam" badge while a visit sync runs, then
reload the sync changes banner and the library.

src/pages/Dashboard.jsx

@@ -1,4 +1,4 @@
-import {useState} from 'react';
+import {useEffect, useState} from 'react';
 import {useTranslation} from 'react-i18next';
 import {toast} from 'sonner';
 import {RefreshCw} from 'lucide-react';
@@ -72,6 +72,9 @@ const Dashboard = () => {
         },
     });
     const forceSync = useForceSync(sync.watch);
+    useEffect(() => {
+        if (steamData.syncStarted) sync.watch();
+    }, [steamData, sync.watch]);
 
     if (isLoading) {
         return <DashboardSkeleton/>;