I'm sure everyone here could give you dozens of reasons your Mom's argument holds no water. But sorry to say, your Mom doesn't need a reason to say no.
Now you'll have something to look forward to when you have your own place.
X2 I agree, I am a parent and we have no need for a reason for no. Other than because it is not what we think is best at this time. It sounds like your mom is pretty cool and letting you breed geckos. Be happy with what you have now and expand later.