Simple - yep, the factory tubing is pretty darn thin. It's like 0.016 wall thickness. Good news is that you probably haven't destroyed the structural integrity, but it does need to be welded back. Any competent welder can TIG it back or even MIG it back and fill the spot. Having the ability to see the wall thickness will help them avoid using too much heat and burning through during the repair.
Don't fret, metal is easy to fix. Once welded, it will be stronger than when it left the factory.
But; be mindful when de-tabbing the bike. The tubing is thin. Don't bear down too hard with a grinder to make it smooth. Get it close, then use a less coarse pad to smoothe out. Or you will eat through or flatten the tubing.