Brooks did nothing but escalate the violence from the first moment the cops arrived. He ran away, but only so that he would have the range he needed to use the taser without being grappled. He was clearly and deliberately attempting to execute cops who were just doing their jobs, and he left them no choice but to defend themselves.
Sorry, what the hell is going on here?
They showed up, talked to him which is on video as a surprisingly normal and chill sort of interaction.
Then they start trying to cuff him and he fights back and manages to get a taser from one of them.
You stated that he was "clearly and deliberately attempting to execute cops" and I know others have addressed this, but again... what the hell is going on here to reach this conclusion?
One taser, at least two cops, both of which have firearms... so just as an example, from someone who's actively thought through numerous situations whereby I may have to defend myself against an unarmed foe, disarm an armed foe, or if needed kill someone threatening others or myself (though the latter was always expected to be rare, I used to be pretty goddamn fast, someone wants to kill me and has no gun they can chase me for a while until they get tired and I'll beat them up for being a jerk).
Rather than tasering one cop and taking his weapon to shoot the other at close range, ideally after pushing the tasered cop onto him, as I would do if I was in this stupidly suboptimal situation... he took the taser and ran, creating distance which means it is going to be harder to accurately use the taser, and then even if he somehow he hit and incapacitated one of the officers... you're expecting someone to change direction mid-stride, cover the distance to the now incapacitated officer, retrieve their weapon, AND use it against the other officer who is coming the same direction?
Like, seriously, there are lots and lots of ways to hurt, maim, cripple, and kill a person.
There are a range of ways to accomplish this and avoid getting attacked by the state, of various difficulties and complexity, though pig farms play a role in several because nobody is digging through pig shit to find the possible remains of a psychopath.
It's not a bad thing to be unaware of the difficulties involved in any of that, it's not usually a pressing issue to have to figure out how to kill someone and avoid being attacked by a government, and movies or games or shows don't help much by presenting it as alternatively way too easy and way too hard to do.
Hell, I'm glad when others are so bad at it, that's a good thing, congratulations on being better at being a good person, or at the very least bad enough at being a bad person that you'll get caught if you try anything.
A taser could decisively alter the outcome against a single cop IF you miss their vest or any of the various items they wear which are almost certainly going to ground the charge rather than divert it into the wearer... these are not odds I would be interested in trying, and odds are I've been in many more fights than you, spent far more time studying and practicing how to incapacitate and if need be kill someone than you, and am better at keeping my head in a stressful situation than you.
Unless I was wearing a full suit of military body armor with an SMG backup for my AR-15 or M4 I wouldn't willy-nilly pick a fight with two cops who knew exactly where I was because being shot does not look fun. I've never tried it but I'll take the word of those who have been, there. Staring down the barrel of a 9mm and noticing you can see the hollow point while a cop is pointing it at you isn't fun either, made me real eager to let them handcuff me and put the goddamn thing back in their holster. I've done that and learned if you can see the cop they can probably see you so don't be seen if cops are interested in you, or even if they aren't, it's best to just avoid them completely whether you're a bored teenager or a grown ass man. I say this, because in all of the shit I've done and practiced and seen, and especially over the last couple of decades when I've seemed far more like a normal law-abiding citizen while cops casually shooting people for running away became far more common, I've figured out a very important rule.
There is only one surefire way to kill someone safely and get away with it: be a cop.