“Right now, my understanding regarding that IP, is the parent continuation patent goes to August 2023. The current application is trying to extend that term another couple years beyond that date, I think.”
Unfortunately, you can’t really extend the life of a patent chain by filing continuation applications. Your patent term for the original patent application and all subsequent child-continuation applications is calculated from your earliest filing date. The USPTO does do patent term adjustment, but that’s just for delays cause by the USPTO in prosecuting your patent application.