I understand why you made this mistake and you shouldn't be hard on yourself. Without fail, every company I've worked for that allowed new employees to experience what you described have been mediocre to awful. Good companies do not allow new hires to feel like alienated, useless outsiders: instead, they ensure that the equipment they need to be functional is ready to go and that the team they're joining is receptive, engaged, and communicative.
I told my SO this and would make the same recommendation to anyone starting out: when you make a serious mistake, you need to treat it as a learning opportunity. Write down the circumstances of the mistake, what led you to make the decision you made, and how you could have handled the situation better. Everyone screws up: few people take the time to objectively analyze what they did wrong and how they could have handled the situation better.