I would also anticipate a rush to introduce a Constitutional amendment by the pro-death pols -- whether it would receive the two-thirds in each chamber and three-quarters of the states, I couldn't say, but I would guess that as the next move on the chessboard.
I don’t think they would need an amendment at this point. A bill would probably suffice. I would guess the decision would be quite narrow only saying it isn’t in the constitution, which still allows for Congress to enact it legislatively.