New apple tv with older apple remote

I have just purchased the Apple TV 4K Wi‑Fi + Ethernet with 128GB storage

i would like a second remote as identical as possible to the remote that came with the device, ideally same layout and functionality.

1) my understanding is that it came with a “3rd gen” siri remote. Is this the same thing as a 3rd gen “apple tv” remote? That is are they two names for the exact same thing or is there some model difference?

2) if they are different, can I pair one of each with the same apple tv and have them work at the same time?

3) if they are the same, can i purchase a 2nd gen version of the apple tv/siri remote and pair them/use them at the same time?

4) if neither of the above will work, is there a very close (simple, same or similar buttons) remote folks have found that works well and isn’t eg a programmable and expensive mess?

I do not use or care about siri. Ideally I would have two physical remotes that are bluetooth, but one being IR is acceptable if two BT remotes are impossible. I just want two physical remotes that will control the device so each couch has one.

thanks very much. Apologies since I’m sure this has already been asked and answered a million times.