Ultralight is also quite common for hotels.
This would cover both options *
This can be done with a PROXMARK3 also.
BUT
*
There is a possibility (depends on tge compatibility, software, reader coupling, tge hotels willingness to enroll etc) , however, with the unknowns, I would suggest you get a card in the first instance, THEN use your phone to determine the chip type, using TagInfo.
We can give you further / better advice from there.
If you can take a test card pack and PM3 / Flipper you can have a bit of a play and figure it out for next time.