Polygamy or monogamy?

so I'm currently in a monogamous relationship, but as much as a love my girlfriend I find myself still talking to other girls.
even though I tell them I'm taken, I still find that I struggle with not flirting with them.
the last girl I spoke to mentioned that she was polygamous so her partner and her were allowed to see others even though they were still very much together.
I've been thinking about this and if it would work for me. but I would like opinions and reasons polygamy or monogamy?
Polygamy or monogamy?
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