This is what I found. A single added given doesn't seem to be enough to make the sudoku easily solvable with a single advanced move.

Like the other puzzle, the puzzle has already one unique solution but complex techniques are required.

But there's something interesting going on, involving some of the 7s in the correct positions of that unique solution.

If you set as added given one or more of these 7s marked in red in this picture, they result in a wrong solved cell 9 (or in one case 4) which leads to an error.

The given is part of the correct solution, but because of a wrong apply of an exocet, the algorithm breaks the puzzle enterly.

I used Andrew Stuart's solver and Duncan's solver to test that.