One of my friends thinks she can do whatever she wants, and belives she's a "good" friend

Cast: Me, Mary

Im a 16 yo m that likes to game and is in year 10 Aus Secondary School, one school holiday day I met a person on one of the popular games Valorant, and her name is Mary, Mary is younger than me by 3 years which I do not mind, note: I'm not interested in dating her or any romantic interest in her.
She's a chill person but then later decided to show her true self a bit more, she keeps bragging about how her ex friend's were rude and disrespectful to her which I find a little cocky judging by the way she says it, she keeps bringing up about her crush and how good he looks, I didn't really care but I listened anyway.

Everytime we hop on a discord call there's some days where she justs mutes herself without saying anything, I would ask her like "Why are you muted?, is it noisy in the background" she wouldn't say anything, BUT play valorant with me, I find that really rude and annoying, because I don't want a good friend of mine not telling and talking to me about anything. She went then unmute herself the next time we call and she would say like, "oh it's because I'm doing homework while playing" (That sounds like total crap to me) or "It's because I'm eating while playing". I would ask her stuff like why don't you just type in the chat box in game? or just tell me? she would just reply with, Nothing, like she's ignoring me.

Most times she just leaves the game party without saying why, like we just finished a game, and all of a sudden she just leaves, and makes an excuse of "I don't know what to say" or "I didn't feel like saying anything". That is a good friend? to me, a good friend is about trust, having fun, got eachother's back but she doesn't do any of that.

Everytime she wants me to play Valorant with her, but I'm busy or can't play, she would say something like, "I don't care, get on and play" or " did I ask? come play idc" or "ew, imagine doing homework/chores/etc." It ANNOYS me so much

She would talk to her mum like she's her friend, everytime her Mum is like, "Mary! do your homework, your teacher called and said you've submitted and done none of the work". Mary would reply back like, "Mum be quiet, you need to calm down, shhh, I'll do it later now get out of my room". She must be one spoiled child.

What do you guys think? Is she a "good" friend?