Hi,
Thank you for the screenshots and the detailed information. Now, you don't need to weep anymore.
Although many users are enjoying the current version of the app without problem on the latest version of Android (Android 13, the version of your device), there is currently a download issue on the Google Play Store for newer versions of Android.
You can download and use the app by the workaround in the following announcement:
https://github.com/ankidroid/Anki-Android/issues/13797Best wishes,
Yuki