How to approach more girls?

I've been single now for 1 and a half year , I didn't want to get to know other girls before I was sure I have overcame my ex.

For a few months now I am starting random conversations with girls when I go out and I am being very polite and everything as it should, and successful in starting such convos. But few of the girls are emotional wrecks, some have a boyfriend but I find it out on our 2nd-3rd date. I get dissapointed and dont want to deal with anyone after such scenarios.

How to get motivation? I know there are girls with great personality and looks but I dont have 3 lifetimes to ask every single of them out on dates and trying to find out if they are really single/interested/emotionaly stable.

How to deal with this situation? I am 22.
How to approach more girls?
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