Ad Inserter Widget doesn’t work with Site Editor

Hi, I made a block with Ad Inserter, which I would like to use as widget. It is working well with older themes, but when I use Twenty Twenty-Two, it doesn’t work with Site Editor. I can’t find it in “Add block” section. Here is a picture: https://ibb.co/6ZP8Htx

I use WordPress 6.0.2, Ad Inserter 2.7.20 and Twenty Twenty-Two theme.

Is there any solution? If not yet, can I add sticky ads to sidebar with shortcode in free version of Ad Inserter?

Thanks!

The page I need help with: [log in to see the link]