You don't need much to do it if you can probe it and turn it on. And it is low amperage, so you can put a jumper wire in there to do it without fear of it burning up.
If you even need to, I'd take a very sharp x-acto, gently carve out a tiny bit of the glass, just enough to shove like a 24 awg solid core wire in there. Try to do it without carving out glass first.
Tin a wire, stick the wire in there for it to make contact, leave enough of the wire stripped so you have access to heat the exposed wire without heating the end directly that is touching the glass. It should heat up and adhere itself to the exposed lead just from the tinning and you'll be in business. I do this for very fine board work with tiny little traces, and it works fine. After it is tested and working, tape down the wire so it doesn't break off because it'll be really fragile. And if it breaks off, just do it again. That'll prevent a messy soldery mess on the glass and potential damage.
You can also tape the wire down first too with like an inch or so at the end untaped, enough to manipulate it to solder it in place. That makes it easier to solder and will keep it from breaking off in the taping process.