I’m guessing you aren’t an anarchist because that’s mostly about unjust hierarchies, not conflating the word authoritarian.
I’m a Communist that works with and speaks with Anarchists.
Socialism and capitalism is about who controls the means of production. In authoritarian countries that would usually be the state or ruling party making it no better than the bourgeoisie of a capitalist country and in socialist ones it would be the workers. I know of no country where the workers control the means of production. Workers having democratic control over the means of production is absolutely essential for socialism.
Then you need to study up on AES countries, as there have been and continue to be Socialist countries, despite them not being Anarchist.
A state largely governed by a Communist Party that practices strong central planning and works against bourgeois control is Socialist. As an example, the USSR, where there were large implementations of democratization: