How to reset an old AppleTV 4k with a new remote?

I had to factory reset my 2018ish AppleTV 4k, but all I have is the newest remote. Bought the new remote a few months ago and threw the original one away (oops).

But now, after resetting and updating it, the AppleTV seems to only want the old remote.

On the initial setup screen, it's saying "Press the MENU button" which of course is no longer a thing.

No combination of button presses gets any response.

I tried holding the remote directly in front of the AppleTV in case it defaulted to IR rather than RF.

I also tried getting to the AppleTV from the TV Remote app in my iPhone; nothing.

Any advice? I'd really rather this thing not be a paperweight until the new ones come out later this year.

My only other course of action is "find an old remote on eBay and buy it," but I wondered if there was a known workaround.