@jonas For some reason, editing my previous post does not work (it always displays some timeout though I have not edited before), so I must commit the crime of double posting this one time... to say:
Oh my god, it finally worked. Using Android app version 2.32.1 in an emulator lets you acquire the ******* okhttp folder containing the correct token. This also seems to be the only possible way at the moment, as far as I can see... big sigh, now it is time to enjoy.
Thank you so much, jonas, for all your work and the final hint!