Black Ops 6 Vault Edition Upgrade Gamepass Ultimate Xbox to PC

I've been looking all over forums but i can't seem to find an answer i was hoping somebody here would be able to help.

I recently switched over to PC from Xbox. I have gamepass ultimate and i bought the 30 dollar upgrade on my Xbox. Do I have to buy the Vault Edition upgrade again for PC or do I already have access to it?

Thanks in advance!