Starbucks Card not Syncing with Apple Wallet on Apple Watch

I have removed and re-added my Starbucks Card to my Apple Wallet on my iPhone 13 with iOS 15.3. While I can see the card on my iPhone, I can no longer see the card in the Apple Wallet on my Apple Watch 6 with watchOS 8.4.

Prior to removing the Starbucks Card, I could see it in the Apple Wallet on both devices. However, the re-added card is no longer visible on my watch.