Feeling alone, want to make friends as a beginner

Hi all. I started bouldering 2x a week almost a month ago. I'm not a sporty person at all and rarely did any exercise in the last couple of years (so I'm super weak). I'm 25f and struggle a lot with depression and loneliness, and I also have very little discipline. That's why I started bouldering: I thought it'd be fun enough to keep coming to the gym and get some exercise, and I'd also hoped to meet some people/make friends.

Today I went to the bouldering gym again but got discouraged by seeing everyone there come in groups and chat with their friends. I felt like I was the only one who was on their own, and also the only one climbing my super beginner level. Maybe there are some others on their own, but most of those people are super experienced climbers who are in their own zone.

I understand that trying to figure out the same route as others can be a good way to connect, but simply no one is struggling on the beginner levels like I am. I see others trying to work a project together, but I feel like I don't have anything to offer.

Any tips to keep it fun and not feel so alone? :/

edit : wow thank you guys for all the kind words and advice. I'm gonna keep going to the gym and try to socialize with little steps. <3