remove unused methods

Author: denrase

flutter/lib/src/integrations/native_app_start_handler.dart

@@ -295,7 +295,8 @@ class _AppStartInfo {
 }
 
 class _TimeSpan {
-  _TimeSpan({required this.start, required this.end, required this.description});
+  _TimeSpan(
+      {required this.start, required this.end, required this.description});
 
   final DateTime start;
   final DateTime end;

flutter/lib/src/integrations/native_app_start_integration.dart

@@ -15,7 +15,7 @@ class NativeAppStartIntegration extends Integration<SentryFlutterOptions> {
   final FrameCallbackHandler _frameCallbackHandler;
   final NativeAppStartHandler _nativeAppStartHandler;
   DateTime? _appStartEnd;
-  
+
   /// This timestamp marks the end of app startup. Either set by calling
   // ignore: deprecated_member_use_from_same_package
   /// [SentryFlutter.setAppStartEnd]. The [SentryFlutterOptions.autoAppStart]

flutter/lib/src/navigation/time_to_initial_display_tracker.dart

@@ -45,20 +45,6 @@ class TimeToInitialDisplayTracker {
     );
   }
 
-  Future<void> trackAppStart(ISentrySpan transaction,
-      {required DateTime startTimestamp,
-      required DateTime endTimestamp}) async {
-    await _trackTimeToInitialDisplay(
-      transaction: transaction,
-      startTimestamp: startTimestamp,
-      endTimestamp: endTimestamp,
-      origin: SentryTraceOrigins.autoUiTimeToDisplay,
-    );
-
-    // Store the end timestamp for potential use by TTFD tracking
-    _endTimestamp = endTimestamp;
-  }
-
   Future<void> _trackTimeToInitialDisplay({
     required ISentrySpan transaction,
     required DateTime startTimestamp,

flutter/test/navigation/time_to_initial_display_tracker_test.dart

@@ -22,41 +22,6 @@ void main() {
     sut.clear();
   });
 
-  group('app start', () {
-    test('tracking creates and finishes ttid span with correct measurements',
-        () async {
-      final endTimestamp =
-          fixture.startTimestamp.add(const Duration(milliseconds: 10));
-
-      final transaction =
-          fixture.getTransaction(name: 'root ("/")') as SentryTracer;
-      await sut.trackAppStart(transaction,
-          startTimestamp: fixture.startTimestamp, endTimestamp: endTimestamp);
-
-      final children = transaction.children;
-      expect(children, hasLength(1));
-
-      final ttidSpan = children.first;
-      expect(ttidSpan.context.operation,
-          SentrySpanOperations.uiTimeToInitialDisplay);
-      expect(ttidSpan.finished, isTrue);
-      expect(ttidSpan.context.description, 'root ("/") initial display');
-      expect(ttidSpan.origin, SentryTraceOrigins.autoUiTimeToDisplay);
-      expect(ttidSpan.startTimestamp, fixture.startTimestamp);
-      expect(ttidSpan.endTimestamp, endTimestamp);
-
-      final ttidMeasurement =
-          transaction.measurements['time_to_initial_display'];
-      expect(ttidMeasurement, isNotNull);
-      expect(ttidMeasurement?.unit, DurationSentryMeasurementUnit.milliSecond);
-      expect(
-          ttidMeasurement?.value,
-          ttidSpan.endTimestamp!
-              .difference(ttidSpan.startTimestamp)
-              .inMilliseconds);
-    });
-  });
-
   group('regular route', () {
     test(
         'approximation tracking creates and finishes ttid span with correct measurements',