feat: update sign-out redirect to landing page

frontend/vue-app/src/__tests__/UserProfile.spec.ts

@@ -193,14 +193,14 @@ describe('UserProfile - Delete Account', () => {
     expect(mockLogoutUser).toHaveBeenCalled()
   })
 
-  it('redirects to login after sign-out', async () => {
+  it('redirects to landing page after sign-out', async () => {
     const pushSpy = vi.spyOn(mockRouter, 'push')
 
     wrapper.vm.showDeleteSuccess = true
     await wrapper.vm.handleDeleteSuccess()
     await nextTick()
 
-    expect(pushSpy).toHaveBeenCalledWith('/auth/login')
+    expect(pushSpy).toHaveBeenCalledWith('/')
   })
 
   it('closes error modal when Close button is clicked', async () => {