There was a suggestion on this thread which is to use the cable. The indication being it switches to charging that way. You could try it. Possibly more the phone taking the power that way and being better able to cope with it I guess rather than the Qi charger cutting itself off but perhaps it does.
On my last long haul I had my phone on the Qi charger while using wireless Android Auto. The phone became so hot that I started getting stutters in the Spotify music and freezing of the Waze navigation. Removing the phone and letting it cool down solved this. It tried it again but again it...
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Mine had a defective build code issue so wasn't built with one when it should have been. One of those moments.