Google play stuck on "internal testing"

For some google accounts the first publish can take 3 days or more and If you're publishing an app for the first time, it may take up to 48 hours for your app's internal test to even just be available. Also, After publishing an open, closed, or internal test for the first time, it may take a few hours for your test link to be available to testers. If you publish additional changes, they may take several hours to be available for testers.

For certain developer accounts, we’ll take more time to thoroughly review your app(s) to help better protect users. You’ll receive a notification on your app's Dashboard about how long this should take. We recommend that you adjust your planning to include a buffer period of at least three days between submitting your app and going live.

https://support.google.com/googleplay/android-developer/answer/6334282

This may also help

I managed to fix this by enabling the internal app sharing option on the play store account I wanted to test the app before accessing the link. Just open your playstore, click on settings, enable developer mode (by tapping seven times on the Play Store Version) and then enable the internal app sharing.

If it doesn't work, you could change the permissions on "Manage testers (on your internal test playstore console)" from "Restrict access to email lists" to "Anyone you shared the link with can download", after accessing the link for the first time you should have access to it even if you switch back to "Restrict access to email lists".

It seems like you have published your app on the Internal Testing Track instead of the Production track. That is why it is not published.

To publish it on the Release track go to "Release" > "Production" > "Releases" > "Create new Release". Now add your apk/app bundle and publish it. It should get reviewed and published within a few days.