Do you buy your abusive ex a present from kids?

[TheMaskedSingSong]

DD is with her dad this year for Xmas day. First time in years as we've had long running court proceedings.
DDs dad is abusive. However, I've acknowledged him on father's day and ensured DD has a card to give him. This year I let her pick a card in the shop and a small gift for him to take. I wrapped the gift and she wrote in the card. I don't know, I just do it for her.

I do this knowing FULL well he won't do the same.

What do others do?

I used to let DC choose a card out of the box of cards I bought but no I didn't give them money to spend on their Dad when most of the time he was behind with child maintenance.