FWIW there are many transmitters similar to what they built that enable playing MP3 players, phones and other things on old radios [1]. I do not remember what the power limit is but no permit is required. They can operate throughout the entire FM broadcast spectrum. If they are broadcasting
good music in an elderly community I doubt anyone will complain.
[1] - https://www.amazon.com/dp/B08L3WX26S/