Is the betterment of the working class and a push to communist relations to the means of production possible through gradual means when the working class is in charge of the State and the economy?
If what you mean is that a bourgeois state can be reformed into a DotP, its tough to say, to this day no one has been succesful, Venezuela may be the best example and its still very fragile due some self inflicted mistakes and the role of the US sanctions. Ecuador was dismantled by turncoats, Argentina got eroded by economic failure, Mexico is a newer case but its very fragile too and we have witnessed how the bourgeoisie can easily sabotage the economy through capital outflows, aka taking their money to the US. Brazil is in a similar spot to Mexico IMO, with the advantage of not being literally next to the US and thus being able to be a bit more free in their international policy, like being able to take part in BRICS.
still i am not a fan of this way since we are always one bad election cycle away from being back to step 1.
China is able to do what they do because the chinese communists seized power with authority and they themselves created the system of governance, throughout all latin america our system was designed by compradores through military dictatorships, its fundamentally different.
How does Lula handle the military? The one thing we can all learn about Chavismo is the way they handled the military, that is the only reason they haven't been toppled.