I’d include it.
It would make for an interesting theological side debate.
Jews are required to not uncircimcise themselves. If God puts it back, are they required to remove it again, or does a single circumcision suffice?
If God required the circumcision then God would not put it back.
This raises an interesting question. Peter cut off the High Priest's Servant's right ear. The right ear is the ear a servant would have punctured with an awl if he wanted to remain the High Priest's servant forever.
Jesus healed the ear. Did he heal it with or without the puncture wound? (For the sake of discussion, let's assume the servant had had his ear punctured.)