Cloud support is not catalogue inclusion
The store names Game Pass Essential, Premium and Ultimate for cloud play, with a separate game-purchase requirement. That wording is not an offer to play the full game solely through a subscription.
What Play Anywhere means here
The product carries the Xbox Play Anywhere label. This is a purchase entitlement feature, not proof of Game Pass catalogue availability. Check the current regional Xbox listing for the precise offer.
Questions, answered
Should I subscribe just to access this game?
Do not rely on the Game Pass badge alone: verify whether your regional listing includes the game or still requires a separate purchase.