How many more signs do you need? It's obvious that she likes the other guy more. It's only been 2 months, move on and save yourself a lot of trouble.
I met a girl a couple months ago and we texted and talked for a good 3-4 weeks. She was flirty and said she liked me and called me her baby and all that jazz, said she loved talking to me and that she wanted me to be her bf. A couple of weeks ago though I noticed that whenever I would call her she was always "busy". Whenever she answered the phone she said that she would call me right back, but never did. This happened like 3-4 days straight. So I decided to be the one to not call or text her first because if she really wanted to call or text me she would. I deleted her number out of my phone just in case I got the urge to initiate contact first...haven't heard from her since and it's been 2 weeks now lol. To this day I have absolutely NO CLUE what she wanted from me.
Who knows why people play games with another person's emotions. I don't get it because I'm incredibly honest, but it is what it is. It's best for people to show signs of disinterest and dishonesty early in the relationship instead of later because it's easier to forget about them and move on. Just imagine how you would feel if your gf started to act like that a year into the relationship instead of a couple of months?