[Bug] AMP protection logic breaks websites (same issue seen in browser extension)

Describe the bug

I have raised this issue previously on the browser extension repo here (see link for description of problem):

https://github.com/duckduckgo/duckduckgo-privacy-extension/issues/1545

It was resolved by first adding an exemption for our website, and then the feature was removed from the extension altogether. It's become apparent that this is also an issue on the mobile app, although we didn't know about it until now (I'm guessing fewer customers are using the mobile app vs. Firefox + browser extension).

Is it possible to add an exemption for the domain mentioned in that issue? And longer term to consider removing the feature, so it doesn't break other websites?

How to Reproduce

See linked issue for further information

Expected behavior

Expectation is that it works the same way as other browser - instead it does something that results in the user being redirected back to the login page with some cookies missing.

Environment

- DDG App Version: 5
- Device: Unknown (likely several)
- OS: Android 13

Start by reading the linked browser-extension issue #1545, then locate the Android app's AMP protection logic and reproduce the login redirect with the reported environment where possible. Done means confirming the behavior and implementing or documenting a scoped resolution for the affected domain or feature, with Android coverage for the regression.