Brand new logo for "Team Battle"

Team Battle

challenge your friends

We have an entertainment company where groups of friends/companies/teams etc can challenge each other in multiple varied live competitions. The competitions vary from quizzes to sports events or dexterity tasks.
The whole concept revolves around 4 teams (of 2 players each) and each team has its own color: blue, red, green or yellow. The teams play each game live in dedicated game rooms. These 4 colors MUST be integrated into the logo design. We would like to avoid using primary shades of these colors, see chrome logo for shade examples.
The logo should be dynamic, fresh and not at all childish. It would also be favorable if it would render itself easy to cut out on a CNC machine.
The most important elements are the 4 colors, the idea of team play and competition.

Please do not all just submit a variation on 4 colored people icons, try to also think outside the box and come up with wildly different ideas. Maybe concentrate more on the idea of different games. Thank you.

Have fun designing!