Fix incorrect type in release notes server api. (#7997)

packages/devtools_app/test/shared/disconnect_observer_test.dart

diff --git a/packages/devtools_app/test/shared/disconnect_observer_test.dart b/packages/devtools_app/test/shared/disconnect_observer_test.dart
index c58869b..2e845a2 100644
--- a/packages/devtools_app/test/shared/disconnect_observer_test.dart
+++ b/packages/devtools_app/test/shared/disconnect_observer_test.dart
@@ -74,7 +74,7 @@
     }
 
     testWidgets(
-      'initiailized in a disconnected state',
+      'initialized in a disconnected state',
       (WidgetTester tester) async {
         fakeServiceConnectionManager.serviceManager.setConnectedState(false);
         await pumpDisconnectObserver(tester);
@@ -83,7 +83,7 @@
     );
 
     testWidgets(
-      'initiailized in a connected state',
+      'initialized in a connected state',
       (WidgetTester tester) async {
         await pumpDisconnectObserver(tester);
         verifyObserverState(tester, connected: true, showingOverlay: false);

packages/devtools_shared/lib/src/server/server_api.dart

diff --git a/packages/devtools_shared/lib/src/server/server_api.dart b/packages/devtools_shared/lib/src/server/server_api.dart
index 8ab41fe..ba9d1c6 100644
--- a/packages/devtools_shared/lib/src/server/server_api.dart
+++ b/packages/devtools_shared/lib/src/server/server_api.dart
@@ -189,11 +189,9 @@
         if (queryParams.containsKey(lastReleaseNotesVersionPropertyName)) {
           _devToolsStore.lastReleaseNotesVersion =
               queryParams[lastReleaseNotesVersionPropertyName]!;
+          return _encodeResponse(true, api: api);
         }
-        return _encodeResponse(
-          _devToolsStore.lastReleaseNotesVersion,
-          api: api,
-        );
+        return _encodeResponse(false, api: api);
 
       // ----- App size api. -----