Fix more web tests

lib/src/web/database/web_sqlite_database.dart

@@ -80,38 +80,33 @@ class SqliteDatabaseImpl
     });
   }
 
+  T _runZoned<T>(T Function() callback, {required String debugContext}) {
+    if (Zone.current[this] != null) {
+      throw LockError(
+          'Recursive lock is not allowed. Use `tx.$debugContext` instead of `db.$debugContext`.');
+    }
+    var zone = Zone.current.fork(zoneValues: {this: true});
+    return zone.run(callback);
+  }
+
   @override
   Future<T> readLock<T>(Future<T> Function(SqliteReadContext tx) callback,
       {Duration? lockTimeout, String? debugContext}) async {
     await isInitialized;
-    return _connection.readLock(callback,
-        lockTimeout: lockTimeout, debugContext: debugContext);
+    return _runZoned(() {
+      return _connection.readLock(callback,
+          lockTimeout: lockTimeout, debugContext: debugContext);
+    }, debugContext: debugContext ?? 'execute()');
   }
 
   @override
   Future<T> writeLock<T>(Future<T> Function(SqliteWriteContext tx) callback,
       {Duration? lockTimeout, String? debugContext}) async {
     await isInitialized;
-    return _connection.writeLock(callback,
-        lockTimeout: lockTimeout, debugContext: debugContext);
-  }
-
-  @override
-  Future<T> readTransaction<T>(
-      Future<T> Function(SqliteReadContext tx) callback,
-      {Duration? lockTimeout,
-      String? debugContext}) async {
-    await isInitialized;
-    return _connection.readTransaction(callback, lockTimeout: lockTimeout);
-  }
-
-  @override
-  Future<T> writeTransaction<T>(
-      Future<T> Function(SqliteWriteContext tx) callback,
-      {Duration? lockTimeout,
-      String? debugContext}) async {
-    await isInitialized;
-    return _connection.writeTransaction(callback, lockTimeout: lockTimeout);
+    return _runZoned(() {
+      return _connection.writeLock(callback,
+          lockTimeout: lockTimeout, debugContext: debugContext);
+    }, debugContext: debugContext ?? 'execute()');
   }
 
   @override

test/server/worker_server.dart

@@ -27,7 +27,7 @@ Future<void> hybridMain(StreamChannel<Object?> channel) async {
       '-o',
       driftWorkerPath,
       '-O0',
-      'lib/src/web/worker/drift_worker.dart',
+      'lib/src/web/worker/worker.dart',
     ]);
     if (process.exitCode != 0) {
       fail('Could not compile worker');