When it comes to running and walking load weight is the worst variable you can increase, biomechanically it's a lot different than how progressive overload works when you go into the gym and use bands, dumbbells, machines of increasing resistance. There's a very good reason any doctor above 70 iq will tell someone overweight NOT to run and not to overdo walking as a cardio and instead opt for a choice that is less offensive to the joints.
This even applies to fit people of a healthy weight, a vest is marginally better for weight distribution than a backpack but ask exmilitary people, the vast majority of them will say they have knee problems and its almost always due to rucking.
Of course this doesn't mean you will spontaneously combust if you go hike every now and then with a heavier backpack or whatever, but increasing weight for the sake of doing it and with it yielding no actual benefit while greatly increasing risk of short to long term injury over just increasing intensity in other ways I don't think is the best way to go about it. I'd just go faster or longer if I was you.
My preferred form of working out is walking uphill on a treadmill for an hour or two a day (because my goal is to get my resting heart rate to 35 BPM), but that's not an option right now because all of the gyms near me are $70 a month and extremely crowded, the ones further away are essentially homeless shelters and illegal alien community centers and extremely crowded (especially if they are cheap).
Zoomers are too poor to go to the club, so they all go to the gym and do meme exercises anytime there is a single woman in the gym. If it's a 24 hour gym, one of them will scan his card and let in literally 50 zoomers to stand around and pose with their shirts off, and then as soon as the girls leave the boys all tromp out after them.
They do this from 9 PM until 2 AM, every day of the week.
For me going to the gym is a meditative experience, not a social one. Being around large groups of hyper-conventional, hyper-conformist teenagers while they compete with one another for sluts disturbs my concentration.
Furthermore, I catch up on my video game and romhack backlog when I find a gym that has treadmills with a space to hold a phone or tablet in front of your face. Zoomers will gather behind me and openly film me while they ook and eek at each other in incomprehensible nigger babble straight of an A. Wyatt Mann cartoon if a horde of them enters the gym in pursuit of a stray female zoomer while I am working out.
I can't go to the gym and do this during the day because all gyms are now "family gyms", by which they mean "woman gyms" - everything caters to women since they are spendthrifts. Thus I can't zone out on a treadmill or play a video game on a treadmill for a few hours a day because some whore will get mad that I'm not staring at her ass saran-wrapped in yoga shorts with a scrunchie butthole cover through which I can see the outline of her anal sphincter, while she sweatily humps the air 5 feet from my face. If I do mind my own business, she will go get gym management and emote indicating discomfort and anxiety without making any substantive claims until a 6'4" roid monkey mean mugs me to take my headphones off, then interrogates me for daring to stare at my phone and ignore a woman seeking male attention and validation.
All this despite going out of my way to make myself seem as neutral and unsociable as possible. I wear neutral colors, non-branded clothes, cotton leggings under my shorts and a thin long-sleeved shirt under my workout shirt, and I don't make eye contact with anyone.
Maybe I should go clean shaven and wear a hypoxic mask to maximize the fuck-off signals I send. I dunno.
Also if I go at night there's a d100 roll if:
* some retarded zoomer or vapid whore will let a homeless crackhead into the gym because he happened to be loitering near the entrance, and he will do homeless schizophrenic crackhead stuff in the gym.
* a nigger will show up to start a fight with some other nigger, or mean mug me for not giving attention to and validating him for being black.
* a group of non-Spanish speaking central american or amazonian illegals - none of whom are over 4'10" tall - will show up, run a paid barber shop in the men's locker room, or cook a chicken on a knockoff George Foreman grill.
* a group of Mexican illegal aliens will show up with a folding table and chairs, and set up a shop where they sell sporting related food and drinks they stole from Walmart shortly before arriving, or which they bought with they EBT cards or the cards they bought from crackheads in exchange for dope.
* a group of antifa/crackheads will ride their bikes through the parking lot and methodically smash the windows of any car with visible goods inside it, while maybe stealing a few cars.
* a pair of crackheads will show up with an angle grinder, grind the locks/chains off every bike in the bike rack, then steal all the bikes.
* two or more fags will have loud anal sex in the gym shower, which at the least intolerable gym I frequented occurred in a group shower with a central pylon from which shower heads radiated. The last time this occurred at that gym, one of them left a pile of shit on the floor, I assume where one or more of his anonymous friends fisted his asshole and pulled the shit out with their bare hands. I could always tell when this occurred because afterwards they would smear shit on the walls of the locker room, and on the dividers and doors of the toilet stalls. They seem to enjoy spreading any diseases they have to non-fags.
So anyways I'l love to increase the intensity of my LISS cardio program by increasing the slope, but circumstances dictate that this is not feasible. Therefore I must either increase the amount of time spent walking, or increase the intensity by adding weight.
I'd rather not use a vest as I have shoulder problems, so it's ankle weights or a weight belt for me.
Edit: just saw the supplement part of your post, metformin, taurine, l-theanine, and (ideally non-oral) l-carinitine is good, with the latter 3 being a consistent part of my stack aswell, the website you linked has some goofy shit on it though. Maybe I just didn't look hard enough but all I found was unrelated stuff (presumably, like female fertility) or mice trials. Stearic acid is probably whatever, the others I'd be reasonably careful with if I was you, I wouldn't just raw dog introduce all 3 compounds at the same time all of a sudden. DNP has like a thousand successful mice trials and with pigeons and shit, it doesn't always translate well to humans.
Why is non-oral l-carinitine preferred?
Inositol is used to manage mood and improve focus.
The 3 supplements on that website I linked to supposedly take the body out of a state of reductive stress, which should increase metabolic rate slightly. They seemed to increase the rate at which I lost body fat, while reducing cravings for food.
Mice when fed stearic acid have less visceral fat, plus saturated fat is a large component of brain matter and iirc myelin sheathing of nerves.