Should I tell my boyfriend, about the mean things my “friend” said about our relationship? PLEASE please answer?

My boyfriend and I have been going out in 25th of January, but we were talking since November 29th because we wanted to take things slow. My “friend” has always said bad stuff about us behind my back ever since. She’ll mock us, say hurtful things, makes racist jokes about him (because he’s Asian), and makes fun of him and I. Last week she also mocked us... (it was so hurtful) I politely asked her if it can stop because it’s mean and hurtful and my poor boyfriend doesn’t deserve this! But to my face she’s like “You guys are so cute”, “When’s the marriage”, “Cutest couple”, “I hope you guys get married” and etc. Then recently I was with him yesterday and I sent streaks because usually he likes to do them with me. So that meant my “friend” got a snapchat by me. I forgot I had streaks with her... Later on she face time my friend group and said very hurtful things about us... such as “I’m surprised they lasted this long”, “I hate him”, “I wish they will break up already” and etc... See I don’t mind her talking bad about me but when it comes to boyfriend that just doesn’t sit right with me. Shouldn’t I tell my boyfriend about this or should I just keep it to myself? Thank you guys for taking the day out of your time to read this it seriouslyyyyy means a lot :)!
Should I tell my boyfriend, about the mean things my “friend” said about our relationship? PLEASE please answer?
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