alright well I've solved it but for the record that "correct" solution didn't go through the mirror any more than the other solutions I posted.
Granted, my solution did not start and end on opposite sides of the brick wall bt that's a bogus reason to reject it because someone not using hints would never see that qualifier. It should have been in the RULES. Not the HINTS. Where the rules are concerned all four of these solutions are equally valid.
Perhaps placing another mirror to eliminate the alternate paths would be a good idea.
This puzzle gets a REJECTED stamp for bad design