How to deal with my boyfriend's ex that keeps texting him?

Anonymous
My boyfriend dated a girl for like 4 years before me and they had been broken up for a year before me and him got together. She found out he was seeing someone (me) and texts him saying mean things about me or asking to meet for lunch or just telling him she's thinking about him. He told her to stop (I saw the text he sent her) and he said he doesn't respond when she texts him. But it is SO SO SO annoying do I just suck it up and get over it or what should I do about it?
How to deal with my boyfriend's ex that keeps texting him?
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