Should I give him a third chance?

my ex was sending flirting messages to a girl about six months ago,i broke it off with him but after a month decided to give him a chance. the same thing has happened again with a different girl.i have moved out of our apartment. at the moment I am getting on with my life.does he deserve a third chance?i think this is the love talking:)
Should I give him a third chance?
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