I am a sedevacantist who officiates youth basketball on Fridays and Saturdays for extra money. This year I'm doing "CYO" (novus ordo affiliated) league. As part of the league, I have to organize and set up a prayer before the game with all the players present. I'm pretty sure I can designate a young player to do the prayer.

I am very concerned I am breaking the first commandment (mortal sin) by praying with these undeclared vatican 2 heretics who do not have the same religion I do.

I am also concerned about praying dinner grace with my novus ordo family since they too believe in the vatican 2 sect.

Is praying an our father with novus ordites who clearly accept vatican 2 objectively mortally sinful?