No problem using a brush George - I still brush-paint around 50% or more.
Use the same sequence, with a slightly thinned coat of matt white as a primer, which, if needed, can be very lightly sanded when fully dry, then a couple of coats of gloss white. Thin the first gloss coat by around 10% thinner, and the second coat with just a drop of thinner, probably less than 5%. This is if using enamels - for acrylics, which don't take too kindly to brushing, you might need to increase the thinning slightly, by trial and error.
The desired finish can, of course, be achieved by the required clear coat.