${CEConfigurationSiteName} Token is not picking up the correct career site (3/3)

Summary:

We have 3 career sites in our instance and two out of 3 career sites are being correctly identified in the token. One of our career sites is not being captured appropriately in the token, and is instead picking up the first career site.

Content (please ensure you mask any confidential information):

Out of career sites A, B, and C, A and B are being correctly identified with the token, but career site C is not being identified. I have seen several other posts about this issue, all with no resolution or an Idea Lab stating this is expected behavior, but no solution and closed as it was from 2021. Is there any recommendation for