Infinite dialog(alert, etc.) loop on <Radio> button change with arrow key navigation

[wonu]

Current behavior

If radio buttons trigger a dialog (alert, confirm, or prompt) on change event, navigating between buttons with arrow keys causes an infinite loop of dialogs opening.

Steps to reproduce the bug

Tested on Windows 11, Chrome 124.0.6367.119, Firefox 125.0.3.

1. Open https://stackblitz.com/edit/vitejs-vite-jbhfjq?file=src%2FApp.tsx,package.json&terminal=dev
   1. Created with vite.new/react-ts
   2. Installed @ariakit/react (0.4.6)
   3. Modified App.tsx
2. Follow the reproduction setps in App.tsx
   1. click one radio button
   2. close alert dialog
   3. press an arrow key
   4. close alert dialog (loop starts here in Chrome)
   5. click the next button
   6. close alert dialog (loop starts here in Firefox)

Expected behavior

With native radio buttons, closing dialog does not trigger further dialogs.

Workaround

No response

Possible solutions

No response