I still would not do this but I will admit it’s possible that it’s just a bad/poorly designed connection causing this failure. If you had gotten to it before it had burned up maybe shimming between the tabs and the plastic would help tighten the connection. I do not have a good source for the electrical connectors that you need for this repair or a strategy for removing the trace to help with the solder.

I have used jlcpcb.com when building my own circuits with great results tho and they might have a connector that works for you or AliExpress.