This is the TalentCell to get. Everyone I know gets that one, you are the first person I've heard using the smaller ones for a Zoom.
Of course, also make sure you're using it with Hirose, not the DC plug port.
Keep in mind, the USB port on the one I linked is trash. It has a dirty voltage regulator and creates noise in the chain. DC ports are quiet.
Take a look at this, it does USB and 9v or 12v out, sound has been clean for me powering my 1010 Blackbox and Moog Minitaur(12v) or Empress Zoia (9v)
TalentCell Rechargeable 12V/11000mAh 9V/14500mAh 5V/26400mAh DC Output Lithium ion Battery Pack for LED Strip and CCTV Camera, Portable Li-ion Power Bank with AC/DC Charger,
https://www.amazon.com/dp/B016BJCRUO/ref=cm_sw_r_cp_api_i_SY6AFEGQRRP1ZZFXJWSW?_encoding=UTF8&psc=1
https://www.amazon.com/Thermoelectric-Cooler-Refrigeration-Cooling-TEC1-12706/dp/B075HC9XHX
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https://www.amazon.com/TalentCell-Rechargeable-11000mAh-14500mAh-26400mAh/dp/B016BJCRUO
This should be the main pieces you need. I dont know how well it would work or for how long.
Not USB-c but this has been a very handy device for multiple recharges while traveling and powering a portable Lepai music setup. Affordable and 3p3s 18650 internally- https://www.amazon.com/TalentCell-Rechargeable-11000mAh-14500mAh-26400mAh/dp/B016BJCRUO
I bought a kanebilt headlight recently for the Z Miami. Kanebilt put the option for the Z Miami on their site before they even had a Z Miami to test it out on. Pretty unprofessional. It didn't come with a battery or the cables cause they thought the Z Miami would have the cables to plug the headlight into. So I've had to piece it together myself.
I bought this battery: https://www.amazon.com/dp/B016BJCRUO
I bought this cable: https://custom-ebike.com/collections/electronics/products/3-pin-higo-to-12v-battery-connector
But it didn't work. The higo connector on it was the male, and you need the female.
So then I bought this: https://www.amazon.com/baluoqi-Extension-Waterproof-Electric-Throttle/dp/B08P2K5B54
I spliced the female higo end on that cable onto the cable from ebike, replacing the male higo end. It's pretty easy to do, you only need to strip and connect 2 wires. The battery comes with a few cables that you may be able to use with the ebike extension cable, foregoing the need for the cable from custom-ebike. I just didn't do it that way since I had the extra cable.
I haven't mounted the battery yet. I'm going to build a box out of metal for it this weekend and mount it on the front down tube.
One other thing to note is that the switches in the kit suck. They don't fit the handlebars properly and the holes for the bolts got stripped super easily. So I'm going to figure out how to mount the switch into the metal box I'm going to build.
Honestly, if I knew I was going to have to go through all of this, I never would have bought a kanebilt headlight. I'm perfectly capable of doing all of this. But for the cost of these things, everything should be perfect from the start. If you don't want the hassle and can return it, that's what I would do.
I have a D850 that I use on corporate shoots. I went with this: https://www.amazon.com/gp/product/B016BJCRUO
It has 2 ports: 9v for camera, 12v for monitor (I use the Ninja V rather than Shinobi). It has the 2 cables and a Y-splitter if you want to run a 3rd item.
I use the Tether Tools dummy battery with it.