Remove now unused apk-health-tests. Can always re-add in the future. (#159349)

https://github.com/flutter/flutter/issues/159000 resolved (for now).

dev/bots/test.dart

@@ -136,7 +136,6 @@ Future<void> main(List<String> args) async {
       'tool_tests': _runToolTests,
       'web_tool_tests': _runWebToolTests,
       'tool_integration_tests': _runIntegrationToolTests,
-      'flutter_build_apk_health_tests': _runFlutterBuildApkHealthTests,
       'android_preview_tool_integration_tests': androidPreviewIntegrationToolTestsRunner,
       'android_java11_tool_integration_tests': androidJava11IntegrationToolTestsRunner,
       'tool_host_cross_arch_tests': _runToolHostCrossArchTests,
@@ -239,19 +238,6 @@ Future<void> _runIntegrationToolTests() async {
   );
 }
 
-Future<void> _runFlutterBuildApkHealthTests() async {
-  await runDartTest(
-    _toolsPath,
-    forceSingleCore: true,
-    testPaths: <String>[
-      path.join(_toolsPath, 'test', 'integration.shard'),
-    ],
-    collectMetrics: true,
-    runSkipped: true,
-    tags: <String>['flutter-build-apk'],
-  );
-}
-
 Future<void> _runToolTests() async {
   await selectSubshard(<String, ShardRunner>{
     'general': _runGeneralToolTests,