Schedule a morning one-on-one with the veto voting manager, and make sure you're good and funky for it. Closed-door, small office... See if that changes his mind.
Manager's spa? Is there an "executive washroom" there, too? Haven't heard of that sort of thing for decades; I didn't realize they still existed.
Our Senior Product Manager uses the same converted janitor's closet turned shower-room that the rest of us do.