Lula isn't doing that great in his 3rd presidency. We are seeing the privatization of prisons, a zero déficit policy and a continuation of a cap on government spending that is fucked up and that he promised to get rid of, but didn't. There's talks of his party, PT, allying with PL (Bolsonaro's party) on some stuff, tho I haven't looked into it to much. And there's a real possibility of the military police becoming basically untouchable and having more power and autonomy than they did during the military dictatorship.
There's other stuff happening that is not related to him, but that is extremely important, like the recent illegal privatization of water in the state of São Paulo by it's facist governor that ended in comrades that were peacefully protesting being beaten and arrested.
Of course there is good too like the economic growth and the recent abolishment (don't know if it is the right word to use) of debt for the people that were housed by the government, but we are seeing the limits of social democracy right now.
This shit is both depressing and enraging. If only the Lula that spoke in the UN was the same Lula that is governing this country.
Don't put too much faith into social democracies just because it's on the global south, comrades.
I'm gonna be honest, I don't know enough about the situation in the Amazon forest, I really need to research about this, but doing a quick search it looks like he has done something to at least alleviate the situation, like send money to combat deforestation and fire, but I don't know to what extend it has helped, nor do I know how bad is the situation there.