Magic Ring M1 + T5577, can't write on it

Since the ring is Gen2 you can just write to block 0 directly with the UID, how you do this varies with what tool you use, if you want to use the PM3 you’ll use the

hf mf wrbl
Command

If you get a taginfo scan of the tag you’d like to clone the UID to, I can give you the full command you could try