I have ordered from Nassau and “wire and cable your way.” Way better pricing than electric supply house. However, I think you should go in your local electric supply house and ask them what wire you’d use for a detached building subpanel run underground for 100a service run 180’. Most places direct burial is normal, but there are some places with the type of rocks/soil that use conduit more often. Nice to go in and get to ask what’s normal locally. Ask the local inspector too. Feeder sizing is a bit of witchcraft especially when figuring out the cheapest route to take with whatever conduit/wire type might have a current shortage or price-hike, as you can see if you google “feeder sizing for adu / garage / shop” and look at electrician forums. With electricians talking about MHF with reduced neutrals or full-sized/triplex/SER/URD/URD double rated/URD triple rated/USE2/conduit/direct burial/overhead, etc. Also occasionally it is cheaper and easier to have a second meter if your local electric company has a low minimum billing amount and includes so many feet of new service wire burial for free; you might pay more over a long period of time with the monthly base rate, but you don’t have to come up with $5k for wire/conduit/excavation/labor to run a subpanel from your existing service.