There is no "well accepted definition" for any political term, least of all any political term from the left, each which has been co-opted by the right to the point that most are simply pejoratives and slurs in common parlance. Just look at "woke" for an example. No one using it anymore uses it in good faith, certainly not on the left.

What we have with "socialism" is the entire spectrum of what socialists themselves believe (and can't often agree upon) and what their opponents insist upon. A European style social democrat and an anarcho-syndicalist have radically different goals, but both would be considered "socialist" by most people. As would - just to point out the absurdity of it - Joe Biden, to half the country.

It is absolutely on you, and all of us, to think beyond "labels," otherwise you just make yourself susceptible to propaganda and misinformation, or at least incapable of fighting it.