feat(R4): show dismissible sync error banner in email list

When the most recent sync for an account fails, a MaterialBanner now
appears at the top of EmailListScreen showing the error message with
Retry and Dismiss actions. The banner disappears automatically once a
subsequent sync succeeds.

- SyncLogRepository.observeLastError() — new lightweight stream that
  emits the last error message (or null on success / no history).
- syncLastErrorProvider — Riverpod StreamProvider.family wiring it up.
- EmailListScreen tracks dismissed errors per-session to avoid re-showing
  the same message the user already acknowledged.

Co-Authored-By: Claude Sonnet 4.6 <noreply@anthropic.com>

lib/core/repositories/sync_log_repository.dart

@@ -65,6 +65,10 @@ abstract class SyncLogRepository {
   });
 
   Stream<List<SyncLogEntry>> observeSyncLogs(String accountId);
+
+  /// Emits the error message of the most recent sync attempt for [accountId],
+  /// or null when the last sync succeeded (or no syncs have run yet).
+  Stream<String?> observeLastError(String accountId);
 }
 
 class NoOpSyncLogRepository implements SyncLogRepository {
@@ -90,4 +94,7 @@ class NoOpSyncLogRepository implements SyncLogRepository {
   @override
   Stream<List<SyncLogEntry>> observeSyncLogs(String accountId) =>
       Stream.value([]);
+
+  @override
+  Stream<String?> observeLastError(String accountId) => Stream.value(null);
 }

lib/data/repositories/sync_log_repository_impl.dart

@@ -99,4 +99,14 @@ class SyncLogRepositoryImpl implements SyncLogRepository {
       return entries;
     });
   }
+
+  @override
+  Stream<String?> observeLastError(String accountId) {
+    return (_db.select(_db.syncLogs)
+          ..where((t) => t.accountId.equals(accountId))
+          ..orderBy([(t) => OrderingTerm.desc(t.startedAt)])
+          ..limit(1))
+        .watchSingleOrNull()
+        .map((row) => (row?.result == 'error') ? row?.errorMessage : null);
+  }
 }

lib/di.dart

@@ -85,6 +85,11 @@ final syncLogRepositoryProvider = Provider((ref) {
   return SyncLogRepositoryImpl(ref.watch(dbProvider));
 });
 
+final syncLastErrorProvider =
+    StreamProvider.autoDispose.family<String?, String>((ref, accountId) {
+  return ref.watch(syncLogRepositoryProvider).observeLastError(accountId);
+});
+
 final reliabilityRunnerProvider = Provider<ReliabilityRunner>((ref) {
   final runner = ReliabilityRunner(
     ref.watch(dbProvider),

lib/ui/screens/email_list_screen.dart

@@ -35,6 +35,9 @@ class _EmailListScreenState extends ConsumerState<EmailListScreen> {
   bool _searchLoading = false;
   bool get _searching => _searchController.text.isNotEmpty;
 
+  // Error banner — tracks the last error message that the user dismissed.
+  String? _dismissedError;
+
   // Thread-level selection (key = threadId).
   final Set<String> _selectedThreadIds = {};
   // Last-emitted thread list, used to resolve emailIds for batch operations.
@@ -131,9 +134,16 @@ class _EmailListScreenState extends ConsumerState<EmailListScreen> {
               currentMailboxPath: widget.mailboxPath,
             ),
       bottomNavigationBar: _selecting ? _selectionBottomBar() : null,
-      body: (_searchResults != null || _searchLoading)
+      body: Column(
-          ? _buildSearchBody()
+        children: [
-          : _buildStreamBody(repo),
+          _buildSyncErrorBanner(),
+          Expanded(
+            child: (_searchResults != null || _searchLoading)
+                ? _buildSearchBody()
+                : _buildStreamBody(repo),
+          ),
+        ],
+      ),
     );
   }
 
@@ -267,6 +277,39 @@ class _EmailListScreenState extends ConsumerState<EmailListScreen> {
     return _buildEmailList(_searchResults!);
   }
 
+  Widget _buildSyncErrorBanner() {
+    final errorAsync = ref.watch(syncLastErrorProvider(widget.accountId));
+    final error = errorAsync.valueOrNull;
+    if (error == null || error == _dismissedError) {
+      return const SizedBox.shrink();
+    }
+    return MaterialBanner(
+      padding: const EdgeInsets.fromLTRB(16, 8, 8, 8),
+      content: Text(
+        error,
+        maxLines: 2,
+        overflow: TextOverflow.ellipsis,
+      ),
+      leading: Icon(
+        Icons.sync_problem,
+        color: Theme.of(context).colorScheme.error,
+      ),
+      backgroundColor: Theme.of(context).colorScheme.errorContainer,
+      actions: [
+        TextButton(
+          onPressed: () {
+            ref.read(syncManagerProvider).syncNow(widget.accountId);
+          },
+          child: const Text('Retry'),
+        ),
+        TextButton(
+          onPressed: () => setState(() => _dismissedError = error),
+          child: const Text('Dismiss'),
+        ),
+      ],
+    );
+  }
+
   Widget _buildStreamBody(EmailRepository emailRepo) {
     return RefreshIndicator(
       onRefresh: () async {

test/integration/account_sync_manager_test.dart

@@ -220,4 +220,7 @@ class _FakeLogs implements SyncLogRepository {
   @override
   Stream<List<SyncLogEntry>> observeSyncLogs(String accountId) =>
       Stream.value([]);
+
+  @override
+  Stream<String?> observeLastError(String accountId) => Stream.value(null);
 }

test/unit/account_sync_manager_test.dart

@@ -132,6 +132,9 @@ class FakeSyncLogRepository implements SyncLogRepository {
   @override
   Stream<List<SyncLogEntry>> observeSyncLogs(String accountId) =>
       Stream.value([]);
+
+  @override
+  Stream<String?> observeLastError(String accountId) => Stream.value(null);
 }
 
 class FakeMailboxRepositoryWithInbox implements MailboxRepository {