As someone who prefer to do something by myself, I tend to avoid working in teams. The reasoning is that if it's something that matters, you can only rely on yourself to get it done. Obviously, I need to embrace teamwork and understand the value it brings.
It's good to be independent but there are times that you have to realize that you are going to need help from others. The most obvious reason is the scale of the task at hand. Hosting a party at your house can be a solo effort but organizing a fund raiser event is entirely different. Whenever you feel like you want clones of yourself to get things done, that's when you need a team.
Some environments have a preference for teamwork. If you played any multi-player game, you will realize that some stuff simply can't be done alone. Players plan and organize to meet up in game (sometimes skipping sleep/work) to raid dungeons. A well planned and executed raid can be very fulfilling and addictive. Teamwork is fun when done right.
Teamwork is also critical when everyone have something at stake. Each member is accountable for the performance of the team. The most common issue here is that in real world situation, it's virtually impossible for everyone to have the same stake. This lead to situation where only those who care about the result doing the bulk of the work.
Although sometimes working in a team can seem to slow down progress with unnecessary procedures, meetings and conflicts, teamwork is invaluable for tackling tasks thats too big for us to handle alone. If you think you can do everything by yourself, maybe the things you do are too small to matter. And if it matters, others will volunteer to join your team.