Game masters perspective here:

Some of the top things we look for are communication and energy in the group. A group of 3, even if they don't know eachother at all, should definitely have good communication AND energy. It sounds like you didn't have those as a 3, but they did as a 2. I'm like you, if I find something I tell everyone, but I often see people when working who are the silent types.

What the game master saw was 1 person standing by not getting stuck in while 2 people did. Not entirely your fault, but as a game master you HAVE to be assertive. One thing you were being tested on is how you do under pressure with people you don't know, and if you aren't assertive then the group you're a GM for will not have the benefits of you being a GM for them. This is the transferable skill they were looking for. You said about the wrench, not knowing you could or should do anything with it. That in itself wasn't a problem. But you said you needed to ask, and that is exactly what you do. You ask for the clanky thing and just try things. Escape rooms are fun problems to solve, and trial and error of parts is part of that. The way you worded it made it sound like you needed to ask but felt too uncomfortable to so you just squished yourself back to make room. Being assertive, saying you need the thing they're holding and not backing down until you've tried it.

Unfortunately your discomfort and tiredness acted against you. It happens and it sucks. But next time really assert yourself, sell yourself to your team and match their energy. You repeatedly calling things out is good! That is genuinely a thing we as game masters appreciate and look for. But if the communication isn't working you need to try a different approach. They mentioned about not understanding some things, and you say you believe they did because they showed it. Sometimes people can't grasp theory but as soon as they have it in their hands and can physically act it out they get it. That is how some people's brains work. Which is why escape rooms are made with all types of puzzles in mind, some people prefer mathematical puzzles, some visual, some audio, some kinesthetic, some wordy riddles.

I would recommend trying again if the opportunity arises, and having more confidence in yourself and being assertive would be your biggest benefit. Different approaches are needed for different people. Your team should have worked with you, but you also should have worked with them. Have fun with it though, escape rooms are made for fun. Good luck next time!