Dont depend on web SDK unless running tests on chrome (#34457)

packages/flutter_tools/lib/src/commands/test.dart

@@ -21,6 +21,7 @@ import '../test/coverage_collector.dart';
 import '../test/event_printer.dart';
 import '../test/runner.dart';
 import '../test/watcher.dart';
+
 class TestCommand extends FastFlutterCommand {
   TestCommand({ bool verboseHelp = false }) {
     requiresPubspecYaml();
@@ -108,10 +109,15 @@ class TestCommand extends FastFlutterCommand {
   }
 
   @override
-  Future<Set<DevelopmentArtifact>> get requiredArtifacts async => <DevelopmentArtifact>{
+  Future<Set<DevelopmentArtifact>> get requiredArtifacts async {
+    final Set<DevelopmentArtifact> results = <DevelopmentArtifact>{
       DevelopmentArtifact.universal,
-    DevelopmentArtifact.web,
     };
+    if (argResults['platform'] == 'chrome') {
+      results.add(DevelopmentArtifact.web);
+    }
+    return results;
+  }
 
   @override
   String get name => 'test';