Should I be worried about my boyfriend and his co worker being friendly like this?

Anonymous
She has a boyfriend for reference. Me and her have had problems in the past between me and him because she sticks her nose in my business with her as far as going to the circumstances to yell at me about speaking to him and telling me “(he won’t put up with your shit like (J name) does” She tells him things like “why are you guys still hanging out with you guys are on a break and not together anymore?” other things like demeaning comments about how I had a miscarriage with his baby last month and she showed him a sign language directed towards abortion. Saying other things like how she likes his beard cut short and trimmed.

She recently got his number and told him, “this is gonna end up starting shit between your girlfriend.”
She texted him “uwu” and he replied back with “rawr” he has told me from the very beginning he doesn’t see her that way and doesn’t like her like that and they just get along at work and are good co workers. He told me he doesn’t want anything to do with me until I change my ways because I’m “overreacting and overanalyzing it” and acting crazy.

He’s told me before that I should trust him and there isn’t anything going on and there’s nothing between them. She has told me the same time and she isn’t trying to get closer to him she’s just trying to make more money for her bills and her child.

Should I be worried?
Updates
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Update: me and her ended up getting into it AGAIN. I made a petty comment and she heard me and made another remark. So I ended up in a screaming match with her and told her “fuck you, you weird bitch!” “You’re literally ruining my relationship!” I found out she texted my cousin who also works with us and she is friends with her, she sent her a message saying “oh I’m going to keep doing it because I find it funny and it gets under her skin.” She told her she was purposely trying to make me jelly
Updates
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He told me yesterday that he doesn’t flirt with her and he has no intention to flirt with her in the future either. He told me she’s just a co worker and he sees no interest in her at all. Her friends are blaming him and trying to say he’s starting it and he likes the attention. Where my cousin showed me the text where she said she was doing it on purpose to piss me off and she was trying to act innocent to the managers.
Updates
+1 y
He told me yesterday that he doesn’t flirt with her and he has no intention to flirt with her in the future either. He told me she’s just a co worker and he sees no interest in her at all. Her friends are blaming him and trying to say he’s starting it and he likes the attention. Where my cousin showed me the text where she said she was doing it on purpose to piss me off and she was trying to act innocent to the managers.
Updates
+1 y
He told me yesterday that he doesn’t flirt with her and he has no intention to flirt with her in the future either. He told me she’s just a co worker and he sees no interest in her at all. Her friends are blaming him and trying to say he’s starting it and he likes the attention. Where my cousin showed me the text where she said she was doing it on purpose to piss me off and she was trying to act innocent to the managers.
Updates
+1 y
He told me yesterday that he doesn’t flirt with her and he has no intention to flirt with her in the future either. He told me she’s just a co worker and he sees no interest in her at all. Her friends are blaming him and trying to say he’s starting it and he likes the attention. Where my cousin showed me the text where she said she was doing it on purpose to piss me off and she was trying to act innocent to the managers.
Should I be worried about my boyfriend and his co worker being friendly like this?
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