TeamWin's official website doesn't say anything about Android 13 support, besides the fact that they're starting to work on that.
However, I've found a few guides and posts on here that said that TWRP does work on devices running Android 13, right here:
So, which is it? Does it work, or does it not work?
By the way, here's a side question: how do I port TWRP to other devices?
However, I've found a few guides and posts on here that said that TWRP does work on devices running Android 13, right here:
[SHARED] New Version of TWRP for Android 13 [SHARED]
This is two version ,rec and boot , of TWRP I flash it yesterday it working flawless.
xdaforums.com
By the way, here's a side question: how do I port TWRP to other devices?