Is there a name for the type of government where the government pursues consumer protection, antitrust, etc policy by directly running one competitor in every important industry, instead of making rules for every participant?

Spanish electric company was one of this kind... some europeans countries still have theirs under the control of the governments or mixed ones.



Another think is that every system or production mode is always a subset of different modes. This mean that there are major systems and subsystems

Alchemist. 
Block Builder. 
Creator.
Degen. 
Ethereum dev. 
Farcaster Framer.

Example all the countries you may say they are socialists, they are more close to some kind of state capitalism.. and all of them still have a market and private companies

Also neoliberalism is a capitalist system but there are cooperatives or other independent "bussines" that  operates internally in a more social way