Question about Amazon Fire TV Stick 4K Max

This is not a function directly supported by the Fire Stick, because the Amazon devices cannot simply be used with programmes from the Google Play Store environment. This is not possible.

But it would be much better to use this Android TV player anyway, which can also do 4K and offers a very good remote control with which you can also control TV devices, doesn't cost much and can then use the Swisscom app from the Google Play Store:

Google Chromecast with Google TV 4K (Google Assistant)

It can also do DolbyVision and Dolby Atmos as well as HDR10+,