Since you got 2 good welds, it might be fine to just leave it as it is, but adding a small strip on top dont hurt either, just make sure the burned area is filed flat so the strip doesnt get an airgap when welding on top⌠It is also easier to run it across from the negative cell instead of the positive, as I said previous. Difference in strip thickness is also not an issue.
In any case, your initial worry about damaged cell is not an issue and no need to try to replace it, which could lead to bigger problems when trying to remove the cell.