Many banks will automatically transfer recurring subscriptions to your new card as a "helpful" measure.

> Updater services allow merchants to know when your credit card information changes, and to alter their records accordingly. If you don’t want to continue the subscription, you’ll need to cancel it directly.

https://www.creditcards.com/credit-card-news/recurring-charg...

You can also try changing your address to a California address, and then the cancel button might magically appear in your account, due to different regulations around this for companies doing business in California.