Disclaimer I'm very light on ML theory so may the community forgive me and the mods have mercy on me:

One perspective on a "liberal democracy" within which you would have democratic socialism might be: There are no ideological constraints except the chains of capitalism. Like that is the reality of western democracies today I think.

They might hold their nose and bla bla about far right and religious this or bad communist but everything goes. Nobody can censor anything because liberal values.

This means that fundamentally, those with the most power OUTSIDE of the state have the most power over the democracy. And that is the capitalists.

And the amount of influence capitalists or plutocrats or capitalist institutions or corporations have is vastly understated as to constitute a "big lie" a la Goebbels. Western democracies are ruled by an amoral "nonsentient amalgamated intelligence". A million individuals all greeding for their own piece of the pie be it wealth or power or just making it to the next paycheck. The true form of the "chains of capitalism" is a slime mold growing inside our heads. No other ideology that actually exerts power is allowed.

So how are you going to implement democratic socialism? You can't!

Nothing stops those with the most power from undermining you, fomenting sentiment, pushing propaganda and influencing the next election which will invariably be some neoconservative anti-commie bullshit.