So I bought this air gap: https://www.homedepot.com/p/PartsmasterPro-Dishwasher-Air-Gap-with-Cover-in-Chrome-58454/300733089
And this tailpiece: https://www.homedepot.com/p/Everbilt-1-1-2-in-x-8-in-Plastic-Dishwasher-Branch-Tailpiece-C9816/205153966
The output of the air gap is 7/8" barb and the input of the tailpiece is 1/2" barb, what's the correct way to connect these? The only thing I've really seen/figured is a universal dishwasher drain pipe but that's 6ft long to cover a ~1ft distance which seems crazy since I'm already going 6ft from the dishwasher to the air gap. Should I be using vinyl tubing and maybe something like 3/4" ID and clamp super hard on the 1/2" and press really hard to get it onto the 7/8" or something else?