I don't want to hang out with my friend with her kids around
Is your friend's kid really that annoying to be around with?
I'm not a teacher and what I really want is a break from them
Spending time with kids can be difficult especially if you are not used to them. They can be annoying and loud sometimes. It will mean that you might spend less time with your friend in the future.
I don't care because it's her problem. I'm sure we can hang out some other time.
Exactly, I am sure you can just hang out with her at another time. There is no requirement that you have to hang out with her and the kids too. I am sure once she is free and available by herself, you two should meet up and have a good time.