Be cautious about the contract. The clearer and more detailed the regulations, the less likely it is to cause disputes. If both parties agree to a supplementary agreement, it is ok to sign another one.
If there is no division of labor among the first responsible person, the second responsible person and other second responsible persons in the terms of the contract, there is an agreement on the responsibilities of Party B, or if necessary, the responsible person of Party B shall sign it separately. (It has nothing to do with Party A. In case of contract dispute, Party A may require all responsible persons of Party B to bear the share, and all responsible persons of Party B shall bear the share as agreed).