That’s why cooperatism is superior to socialism and capitalism. It’s a free market of worker-owned companies, creating things by running their businesses together.
The free market is a set of principles between companies, not a principle for how companies need to be organized internally. Capitalism is based on single-owned companies. Cooperatism is based on worker-owned companies. Cooperatism is a better free market based economy. It’s capitalism 2.0.
Note that capitalism does not exclude worker-owned companies at all. You're free to start one.