Android 12 Go Edition? Nice. I will email my contact over at Hot Pepper Mobile and make a request for the updated factory firmware image.
In theory, the rooting procedure for Android 11 should work on your Android 12 based tablet. The kernel/ramdisk for Android 11 is fully compatible with Android 12. Google now uses a protocol known as the Android Common Kernel (ACG), which separates the vendor implementation from the boot image via dedicated partition. This new protocol will purportedly help alleviate the widespread fragmentation problem with Android-based devices, and make OTA updates simpler on manufacturers to provide. However, I would first need to know your hardware configuration to ascertain that it is the same hardware used in earlier tablet models. There is an app on Play Store called Dev Check Device & System Info by developer flar2. Install that app, open it, grant any permission requests, then tap on the Hardware heading. Post the info pertaining to your CPU/GPU if you would be so inclined. Thanks for your support. Also, if you wouldn't mind, post a photo of the manufacturer's sticker located on the rear of your tablet.
I just emailed the Support Dept over at Hot Pepper Mobile and formally requested the updated firmware image based on Android 12.