According to that calculator, you could use 14 gauge wire for it. I wouldn't use 14 gauge wire, but 10 gauge is plenty. The welder pulls less than 30 amps, as you have demonstrated by using it on your current dryer outlet, which is probably a 30 amp circuit.
Just wire in another 30 amp circuit and you will be fine.
if you have any intent of miving to a larger welder in the future, then go bigger. if you are just a hobbyist, you'll be fine with 30A
Everlast 200DX
Everlast PT185
Shoptask 3-in-1 (not currently in my garage, but I own it...)
Any day on a motorcycle like this that ends just needing parts and labor is a good day.
4.82, 158.67mph 1/8th mile 7.350, 200.35mph 1/4 mile