Fam you could just study Norways system to see if Democratic Socialism is rebranded communism or not.
Democratic Socialism isnt a theory, its actually a system that is in practice in some very successful countries.
Major difference in classic Communism and classic Socialism is that in Communism there is no such thing as money. You work based on your abilities and you are given resources based on your needs. In classic Socialism, there is actually money. In socialism, you work according to your ability and are given money. That means you can spend or save, and buy what you want. In either system, you don't have private businesses or private ownership of property.
Democratic Socialism is different. It allows for money, private business, and private property. Those 3 things make it capatilist. Once you allow private businesses and the ownership of property, you cant be communist or socialist. What Democratic Socialism does though is it distributes wealth alot more than our system of capatilism. In a DS system, the richer you are, the more taxes you pay. That way everyone is given the fundamental rights to health care and a fair education, a living wage etc.
In DS, basically, the needs of the whole is supercedes the needs of the few. This doesnt mean there arent rich people in these countries. There are filthy rich people in these countries. Its just almost impossible to become Bezos rich in those countries. Theres a reason the top 100 richest people list is dominated by Americans.
But again, back to my original point, DS is being actually practiced in a ton of developed countries. You can just pick one and read about their system and get the answers to your question.
Denmark, Norway, Sweden, Canada, Germany, France to name a few. There are a ton more too. Start with Norway imo. Then go to Sweden. All these countries have a free market but they redistribute the fuck out of wealth.