Then it's still possible to read the key from it, if you have the hardware. If you are a bit handy you might be able to build a probe yourself, and if you are computer savvy, make the whole thing work.
Have you tried anything at all to get the drive to work ? There might be possible adjustments to the laser to get things working a bit. Lasers should be cheap. What's the history of your xbox ? Do you know if anyone ever attempted modding it before ? Might be the reason why the drive no longer works ? If no-one played inside yet , you could start taking things apart...
I'm a bit handy/computer savvy and might be able to get it to work, just need to have the time lol. I haven't done anything with it in a while but in the past I did a bunch of research on how to fix it, never could get anything to work and don't really remember what i did tbh. I have never modded it but i have opened it up a few times and taken the disk drive out.