AppleCare on gifted Apple Watches

I bought an Apple Watch series 8 for my granddaughter for Christmas and purchased Apple Care at the time. I also bought myself a new series 8 watch and purchased Apple Care. I gave my son my old Apple Watch Series 7 and had purchased Apple Care when new. So now I am paying Apple Care for 3 separate Apple Watches. My question is, even though 2 of the watches are no longer owned by me and not a linked item in my Apple account, is the Apple Care still valid for the watches I gave as presents. I would prefer to continue paying for the Apple Care (for the gifts) if the coverage is still valid.

[Re-Titled by Moderator]