You are so full of irony.
Communism is a classless, stateless society. There is no government. There is no capital. It is very difficult to be authoritarian while also opposing the tools of authoritarianism. Socialism ( most commonly ) is a transitory sate following ( most commonly ) a revolution by the workers to seize the means of production. A Socialist government is ( most commonly ) a democratic body of representatives who's chief function is preventing capital from reasserting itself until the need for this withers away and the society transforms to Communism.
Capitalism is where a few people own the means of production and extract a portion of the value added to goods from labor as 'profit.' Not all capitalist systems have 'free' markets, and markets are not unique to capital.
You have never actually read anything about these political systems. You don't understand the one you claim to favor, nor the ones you claim to oppose, yet you call others indoctrinated? You are operating on generations of cold war propaganda that was substituted for education and you were never curious enough to look deeper for yourself. You need to do the actual work to know what these things mean in order to be taken seriously.