I've seen a lot of abhorrent behaviour from software developers over the years but releasing an update that silently injects advertising into a user's personal data is one of the worst, most greedy actions I've ever encountered.
This is a firmware issue, no third-party application or settings twiddling will fix it. You'll need to either wait for Asus to issue a patch (unlikely to happen any time soon, this issue was reported on the Android 11 update for ZenFone devices back ...