Yea. That device is a Bluetooth Transmitter/Receiver. Example:
https://www.amazon.com/Anker-Soundsync-Bluetooth-Connection-Headphones/dp/B07H5C2BQX
You're right. Sorry, didn't think of that. I've got those so I'd be set.
I've found an Anker one and it looks like it will do the job very nicely. It also seems possible the adapter being in the center console won't be a problem.
I did want to ask; I've never heard of Ugreen but looking at their website they look pretty legit. Are they? If what I've read, heard and experienced is to be believed then Anker is the gold standard of tech accessories so I imagine I'll get theirs no matter what but I'm curious if Ugreen is popular and is considered close competition to them or something.