AIO. Am I [29M] right to think that with this conversation my girlfriend [28F] completely crossed a line?

I accidentally (I wasn’t snooping) saw the conversation between my girlfriend and a male friend. Here is the translation of it.

(M - male friend of her, GF - my girlfriend)

M: “I heard you’re hiring right now.”
GF: “My boyfriend would probably be happy about that :D”
M: “Why?”
… here she explains that I’m jealous, and that it comes from the fact that I was cheated on in my previous relationship and I haven’t gotten over it yet …
M: “Just because we work in the same room doesn’t mean I’m going to immediately put you on the table and fuck you.”
GF: “Idiot xdd”

Am I overreacting, or right to think that I should leave her?