Authentication prompts in System Settings trigger not-responding dialogs

### What Happened?

Whenever some section of _System Settings_ requires authentication and spawns a password prompt, I get the "app not responding" dialog, even though the app seems to be running fine. If I dismiss it by pressing "Wait", I can continue typing the password, but it comes back after a few seconds. It only stops when I close the authentication prompt.

https://github.com/user-attachments/assets/1afb8f82-8731-4683-ae91-a62dd55598df

It also happens in other sections of _System Settings_, such as _User Accounts_.

I'm attaching the log output below, collected by running `G_MESSAGES_DEBUG=all io.elementary.settings` and reproducing the problem.

[elementary-settings.log](https://github.com/user-attachments/files/23322273/elementary-settings.log)

### Steps to Reproduce

1. Open _System Settings_, navigate to _Security & Privacy_, and go to the Firewall tab.
2. Press the _Unlock_ button at the bottom. A password prompt will appear.
3. Wait a few seconds. The "app not responding" dialog should pop up then.

### Expected Behavior

If I finish typing my password, the authentication succeeds and everything works as expected. Clearly, the "app not responding" message should not be there.

### OS Version

8.x (Circe)

### OS Architecture

amd64 (on most hardwares)

### Session Type

Secure Session (Wayland)

### Software Version

Latest release (I have run all updates)

### Log Output

```shell

```

### Hardware Info

_No response_