lol. I think you’re thinking Anarchism, not Capitalism.

Capitalism is ‘capital makes the rules’, not ‘there are no rules’.

The problem is you are talking about orthogonal concepts, ie. economic policy and social policy. See the Political Compass: https://www.politicalcompass.org/

Not really, no, since all these mentioned political philosophies have explicit market elements.

Or do you think it’s possible to have a socialist or communist gov’t AND capitalism or free market at the same time?

Because those quite literally are incompatible as part of the definition.

Same as a heavily regulated economy or state ownership of production in Anarchism.