Makita power for your Millwaukee heated gear

I have Makita tools 18v but I wanted a Milwaukee heated hoodie or vest
so I look around Milwaukee has a 18v power adapter to run the heated gear from 18v Millwaukee batteries a little poking around and some help from friends at my local tool store
I got enough info

ok now the warning
this is a personal project if you chose to copy it you take all risks what ever they maybe and accept that this will probably void any and all warranties may or may not burn your house down or make your Br