<human>: Can you condense the text into three sentences or less?

First I hope I worded it well enough to understand, English is not my nativ language.

I don't know if I should feel uneasy about this or if I'm just too insecure.
We play sometimes Online games (Overwatch) together, a few weeks ago a new guy [19M] started to play regularly with our group too. He is a nice guy and funny to play with.

We have a group chat where we talk about regular stuff or share things we are working at the moment (cosplay for example). And I just get the feeling he is a little bit to focused on my GF, he compliments her for everything. 2 weeks ago they met, he was visiting out city because he was never there before. And now he started to text her directly a lot and asks to meet again. Visit his hometown and cook something together, for me that sounds like a date, but whatever.

I don't want to picture him as a bad guy here, I'm sure he is just a lonely shy guy without a lot of friends and had fun to meet somebody with the same interests.
And to clarify I don't think my GF is doing something behind my back, she told me about all this and declined the offer to meet up again, because she had plans with me.

So am I right to feel a bit uneasy about this? And how can I bring this up with my GF? I dont want her to stop talking/playing games with him if she enjoys his company and I dont want to be a insecure controlling boyfriend.
<bot>: friend started texting my GF regularly and after visiting her once asked to meet him again and cook something together, am i right to feel a bit uneasy about him?