Because every token has an iat datetime, you don't need a token blacklist to invalidate tokens. You just need some sort of tokens_invalid_if_issued_before_datetime setting that gets checked whenever you validate the signature of a token.
The alternative is to store a UUID for each user, and just rotate those whenever they log out, change or reset their password, or there is some sort of security event. These are then stored in the payload and used as a secret. The one advantage over just using dates is that with the former, there can be weird bugs if you have multiple servers with clocks that are out of sync.
But you shouldn't ever need to blacklist specific tokens, at least not unless you have some highly specialized use case.