Would you be uncomfortable with this?

My so got offered a job, it’s average pay nothing out the ordinary, but a girl who has a thing for him works there. Well she has a thing for every other man she sees, especially if they’re in a relationship. She cheated on her last 2 partners and before my boyfriend and I got together she tried it with him a few times, even when he was drunk. She even tried it at the beginning of our relationship when I was out of town visiting family for 2 weeks. She pops up every now and then, asking for advice and sympathy from him, and he ignores her. He told me he’s not gonna take the job if I’m not comfortable with it because he doesn’t want me worrying about her coming onto him at work or even at staff parties. He also said he knows I trust him but he just doesn’t want to risk what we have for a girl who gets on with anyone she can

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