Chosen Solution

Can you buy the connector which goes on the logic board for the battery charging regulator. I still have the solderings visible but the connector popped off when removing the cable.

Sadly, you really need to try to salvage the old connector as I don’t have a source for this connector. The only way I would fix this would to salvage the connector from a parts system. I think you need to find someone who fixies Mac’s to have them replace it if they have the part.