Do not show v1 Android embedding message for non-Android commands (#96148)

diff --git a/packages/flutter_tools/lib/src/project.dart b/packages/flutter_tools/lib/src/project.dart
index d5b5337..166eb47 100644
--- a/packages/flutter_tools/lib/src/project.dart
+++ b/packages/flutter_tools/lib/src/project.dart
@@ -552,9 +552,16 @@
   }
 
   void checkForDeprecation({DeprecationBehavior deprecationBehavior = DeprecationBehavior.none}) {
+    if (deprecationBehavior == DeprecationBehavior.none) {
+      return;
+    }
+
     final AndroidEmbeddingVersionResult result = computeEmbeddingVersion();
-    if (result.version == AndroidEmbeddingVersion.v1) {
-      globals.printStatus(
+    if (result.version != AndroidEmbeddingVersion.v1) {
+      return;
+    }
+
+    globals.printStatus(
 '''
 ━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━
 Warning
@@ -573,21 +580,15 @@
 
   ${result.reason}
 ━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━
-'''
-      );
-      switch (deprecationBehavior) {
-        case DeprecationBehavior.none:
-          break;
-        case DeprecationBehavior.ignore:
-          BuildEvent('deprecated-v1-android-embedding-ignored', type: 'gradle', flutterUsage: globals.flutterUsage).send();
-          break;
-        case DeprecationBehavior.exit:
-          BuildEvent('deprecated-v1-android-embedding-failed', type: 'gradle', flutterUsage: globals.flutterUsage).send();
-          throwToolExit(
-            'Build failed due to use of deprecated Android v1 embedding.',
-            exitCode: 1,
-          );
-      }
+''');
+    if (deprecationBehavior == DeprecationBehavior.ignore) {
+      BuildEvent('deprecated-v1-android-embedding-ignored', type: 'gradle', flutterUsage: globals.flutterUsage).send();
+    } else { // DeprecationBehavior.exit
+        BuildEvent('deprecated-v1-android-embedding-failed', type: 'gradle', flutterUsage: globals.flutterUsage).send();
+        throwToolExit(
+          'Build failed due to use of deprecated Android v1 embedding.',
+          exitCode: 1,
+        );
     }
   }
 
diff --git a/packages/flutter_tools/test/general.shard/project_test.dart b/packages/flutter_tools/test/general.shard/project_test.dart
index ee609b9..0214d3d 100644
--- a/packages/flutter_tools/test/general.shard/project_test.dart
+++ b/packages/flutter_tools/test/general.shard/project_test.dart
@@ -182,7 +182,7 @@
         // v1 embedding, as opposed to having <meta-data
         // android:name="flutterEmbedding" android:value="2" />.
 
-        project.checkForDeprecation(deprecationBehavior: DeprecationBehavior.none);
+        project.checkForDeprecation(deprecationBehavior: DeprecationBehavior.ignore);
         expect(testLogger.statusText, contains('https://flutter.dev/go/android-project-migration'));
       });
       _testInMemory('Android project not on v2 embedding exits', () async {
@@ -198,6 +198,15 @@
         expect(testLogger.statusText, contains('https://flutter.dev/go/android-project-migration'));
         expect(testLogger.statusText, contains('No `<meta-data android:name="flutterEmbedding" android:value="2"/>` in '));
       });
+      _testInMemory('Project not on v2 embedding does not warn if deprecation status is irrelevant', () async {
+        final FlutterProject project = await someProject();
+        // The default someProject with an empty <manifest> already indicates
+        // v1 embedding, as opposed to having <meta-data
+        // android:name="flutterEmbedding" android:value="2" />.
+
+        project.checkForDeprecation(deprecationBehavior: DeprecationBehavior.none);
+        expect(testLogger.statusText, isEmpty);
+      });
       _testInMemory('Android project not on v2 embedding ignore continues', () async {
         final FlutterProject project = await someProject();
         // The default someProject with an empty <manifest> already indicates