refactor: improve test stability and clarity in various test cases

- Updated the 'Add Context Image' test to simplify file verification by relying on UI visibility instead of disk checks.
- Enhanced the 'Feature Manual Review Flow' test with better project setup and API interception to ensure consistent test conditions.
- Improved the 'AI Profiles' test by replacing arbitrary timeouts with dynamic checks for profile count.
- Refined the 'Project Creation' and 'Open Existing Project' tests to ensure proper project visibility and settings management during tests.
- Added mechanisms to prevent settings hydration from restoring previous project states, ensuring tests run in isolation.
- Removed unused test image from fixtures to clean up the repository.

apps/ui/tests/profiles/profiles-crud.spec.ts

@@ -28,6 +28,9 @@ test.describe('AI Profiles', () => {
     await waitForNetworkIdle(page);
     await navigateToProfiles(page);
 
+    // Get initial custom profile count (may be 0 or more due to server settings hydration)
+    const initialCount = await countCustomProfiles(page);
+
     await clickNewProfileButton(page);
 
     await fillProfileForm(page, {
@@ -42,7 +45,15 @@ test.describe('AI Profiles', () => {
 
     await waitForSuccessToast(page, 'Profile created');
 
-    const customCount = await countCustomProfiles(page);
-    expect(customCount).toBe(1);
+    // Wait for the new profile to appear in the list (replaces arbitrary timeout)
+    // The count should increase by 1 from the initial count
+    await expect(async () => {
+      const customCount = await countCustomProfiles(page);
+      expect(customCount).toBe(initialCount + 1);
+    }).toPass({ timeout: 5000 });
+
+    // Verify the count is correct (final assertion)
+    const finalCount = await countCustomProfiles(page);
+    expect(finalCount).toBe(initialCount + 1);
   });
 });