How do I paint thin formica veneer?

Here is a site that tells you how to paint laminate veneer:

https://realitydaydream.com/the-difference-between-laminate-and/

You can sand, prime and paint laminate as if it were a solid wood piece of furniture! It's easy to skip the sanding step, because sanding is a drag… but it's especially important with laminate. Because it's often somewhat glossy-looking, and important to sand it down until the finish is very dull before primin

My cabinets are laminate over wood. Former owners had Sears laminate them with a dark fake wood grain.

How to Paint Cabinets

Make sure they are clean and dry. Remove the doors and hardware. Mark the doors and cabinets with tape where they go. Lightly sand the doors and cabinets to remove any gloss and roughen the surface for paint with 220-grit sandpaper. Use a tack cloth or damp rag to remove dust after sanding. Prime with a stain blocking primer like KILZ. Acrylic, or water-base, paints are low-fume and clean up easily with water. Alkyd, or oil-base, paints require good ventilation because the paint contains solvents that can irritate your lungs and make you feel sick. Alkyd options require mineral spirits for cleanup, but they provide a hard, durable paint finish. Whichever you use, buy the best-quality paint you can afford for a lasting kitchen cabinet finish. Seal with at least three coats with a water based polyurethane. Use a small foam roller and foam brush for a smooth finish.

https://www.hometalk.com/search/posts?filter=Paint%20cabinets

http://equipcreative.blogspot.com/2012/04/i-did-it-myself-faux-granite.html?m=1