I made up the time span, but tbh you'd know within 10 mins much less 30 mins.
What could be damaged? Get under and have a look, see what's nearby to where the leak is going to be, easiest way. Temps will be about 500c, could double that if it was FI. Boot isn't very well sealed so fumes very likely to get it, how much is debates me but there will be some, I tend not to muck around with CO at all given how lethal it can be.
Again, first sporty car?