As far as I know, the Audible app distributed via the Amazon app store does not have the in-app purchase limitations. You can get the Amazon app store for pretty much any Android device, and then install the Audible app from there.

Try downloading the app directly from Amazon.

https://www.amazon.com/Audible-Audiobooks-Podcasts-for-Android/dp/B004GJ6BY0/ref=mp_s_a_1_5?crid=1XSJFBLOISWDR&keywords=audible+app+download+for+android&qid=1681923256&sprefix=audible+app+downloa%2Caps%2C292&sr=8-5