Ownership of candidate when exclusivity length of agency expires

Summary:

what happens with the candidate profile ownership if embargo of agent who referred that candidate expires and another agent refers the candidate?

Content (required):

Let's say, there are two agents Agent A (person specific) with exclusivity length of 1 month and Agent B again person specific, exclusivity length of 1 month.

Agent A create candidate profile with email id xyz@gmail.com, now candidate ownership is with Agent A, Agent B cannot create candidate with same email id in his/her talent pool.

However, after exclusivity length of Agent A same candidate can be referred by Agent B, in this scenario will candidate source and source medium also change on candidate profile?