Yeah, you're right, but the scapegoat is specifically the one that doesn't get sacrificed on the altar. So perhaps there should be a different card called "Unluckygoat" that's the offering card.
Aaron shall bring the goat whose lot falls to the Lord and sacrifice it for a sin offering. But the goat chosen by lot as the scapegoat shall be presented alive before the Lord to be used for making atonement by sending it into the wilderness as a scapegoat.
Leviticus 16:9-10 NIV
https://bible.com/bible/111/lev.16.9-10.NIV