Girls, should I keep trying when I recieve a response like this?

nerdyguy523
So, I asked a girl out 5 weeks ago who I have been somewhat friends with for 4 years now, and I got an odd response. We both are in band, robotics, and we both are in advanced classes. I was just wandering three things:
1: what does this mean and is it sarcatic, lying, or truthful? (just best guess)
2: if you were her, would you be alright with me asking again, or some other follow up question?
3: should I tell her that I can wait or that we can be friends until we can date?
What she said:
"I am sorry, (insert my name), but my parents won't let me date, but maybe we can still be friends."

-Thank you to all who respond,
-nerdyguy523
Updates:
+1 y
slight chamce i forgot to imclude that i already know that she can't date, but i am curious about the sorry part.
Girls, should I keep trying when I recieve a response like this?
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