Yes, that helped. After moving the .pvnm and restarting both template and sys-net the network manager shows WiFi and finds networks.
I didnt try renaming that file under debian when 51lieal suggested using debian - my bad.
EDIT: I did a new clean install with fedora-34 as default template. This time I did exactly the steps mentioned by you for /lib/firmware/iwl-wifi-ty-a0-gf-a0.pvnm.xz
and this time it worked
Maybe it didnt work last time because I donwloaded an additional .ucode driver or because I renamed it as iwl-wifi-ty-a0-gf-a0.pvnm.xy.bak
instead of old.bak