You are over-thinking this, and the moment you are over-thinking something, we should try to stop that with the strategies in the therapy.
But, we all need rational feedback sometimes. You probably know this is irrational, but it's how you are thinking and feeling at this moment. So, it is honest. And it's good you tell us to get it out there honestly. We all need reality checks from friends. No matter how far along we might be in the therapy, we may still have very entrenched nuggets of irrational negative self-belief. It takes time to work through those.
Here's some thoughts from my brain: I've never looked at someone and thought that person is too "XYZ"... too dark or too light or too whatever. The person is the color they are at that time. This does not mean that I don't notice color. We all do. I hope at least I'm not assigning a negative value to that observation. Of course we are all members of our society and what with implicit bias, we are all also affected by the media we see every day. I'm not getting into this conversation here. What I mean to focus on is that, on the whole, I don't look at someone and think much one way or the other about their skin tone. Actually I'm more jealous when people have a darker tone because I can never get a nice tan.
I lived in China for many years, and other countries. You might know that in Asia, the idea of beauty is to have very pale skin. Truth is, naturally, most Asians that I've seen over the years of living in different countries do NOT have pale skin. They try to get pale skin with skin whiteners and they avoid the sun like the plague. I guess avoiding sun is smart because of skin cancer, etc, but I think you get my idea here. They want to be super pale, something that naturally they really aren't. Meanwhile I'm thinking, wow, I wish I could have a nicer skin tone like you guys! It's all kind of nonsense really, if you think about it.
At the end of the day it's all silly. We are what we are. There's probably some place in the world where the people want to be darker, and another place where the people want to be lighter, and another where they value being shorter, and another where they all dream about being taller. And although I may want a beautiful sun tan, that's not me and it doesn't matter. This is what I got right here, right now, and I'm not going to bother with burning my skin just to get a little darker. People have told me all my life to get some sun, that I look sickly. But who cares! I don't anymore.
I also used to think, if only I had darker skin then people wouldn't be able to see me blush. THEN I wouldn't have social anxiety. Well, that's also a misguided thought. I'm not worried about that anymore.
For you, it doesn't matter how much logical stuff I can write here. The point is you are whatever color you are and that makes you not happy and insecure. Self-esteem, self-acceptance - these are big concepts, big things to grapple with slowly. These are things to keep reinforcing in the therapy, in your life. You're worrying about this, just as previously you worried about eye contact in other situations, and pressure in your head. Keep applying the therapy, keep accepting yourself no matter what. Keep choosing not to dwell on this but instead choose to focus on rational, positive, healthy and real acceptance strategies. You must keep reminding yourself of the rational while you do things. It's not enough just to do. You have to do based upon the reinforcement of how you think and feel about what you do. The cognitive is what in the end will change how you feel in the moment of doing.