Let's discuss psychopaths as objectively as possible

So as many of you know, Killing Stalking is just about to end. SPOILER: the psycho guy dies. One of the things that people in the chaotic comment section argues about is whether or not the guy deserved to die.

How should people deal with psychopaths? It's a biological flaw, right? Something is different and wrong with their brains. A superficial google search tells us that psychopathy is a brain wiring dysfunction. Psychopaths lack empathy and have a poor sense of preservation, which make them not care too much/ at all about the consequences of their actions. Oftentimes, they are very narcissistic, and like instant rewards for their actions.

So we can't blame psychopath babies for being born with the brain they have, can we? They're not inherently evil, they're just wired differently. And it's true, many criminals are found to be psychopaths.
But I've also read articles about people diagnosed with it who successfully and continuously receive help, and are living their lives normally. I'm trying to be a neutral as possible here. What if I have a child someday, and I notice him exhibiting psychopatic behaviors?

I guess the responsible thing to do is for parents to seek for professional help when their kids are acting all sorts of crazy. Pay attention to them and all that.

But what about those psychopaths that don't have attentive parents? What about those that grew up in abusive homes? There are plenty of criminals who didn't even know they're psychopaths. Make no mistake, Im not saying psychopaths shouldn't be punished based on their wrongdoings. Fuck no. Biological flaw or not, they can still choose to not do something. Let's go back to Killing Stalking, and take Sang Woo as an example. Say he wasnt injured in the fire and was able to face a trial.

How should he be punished? There's no question about him being jailed, he fucking deserved it. But should he be subjected to death penalty? I thought maybe he should serve his lifetime sentence in a facility where he can also get treatment. There are existing laws about sentencing people with mental illness, afterall. But what do you guys think?