I would suggest topping your tile with an urethane top coat. Ad a little aluminum oxide for slip and scratch resistance and be good to go. Just know your top coat over the tile will only be as good as the tile itself. I'm sure the car salesmen will jump in. Get a high quality, high solids urethane. 75% solids or higher.
Urethanes have a better scratch and chemical resistance than epoxies. Well, at least the ones I deal with. You can't do a high build with urethane like you can with epoxies.
Jamie is correct. you need to prep the tiles before coating them or you are just blowing your money.
Few things professor missed and frankly, I am not an expert at VCT tile coating but have picked up a few tips from customers along the way. Also Legacy Industrial does not offer a purpose built VCT tile coating. This is not our forte'. I have heard that Fred at Alpha Garage has this covered.
You can roughen the tiles up to create a bonding surface. However, if you choose to do this it has to be done before they are laid. If on the floor the black will bleed over the white or dark onto light.
Some folks will lay finished side down as the backs are pretty rough, better bonding surface.
The main issue with coating tiles is the seams. You can create an out-gassing issue through an open seam. Therefore, I would lay down 100% solids clear (UV inhibitor version), pull it tight with a squeegee, allow to cure.
Wait no more than 24 hours and apply your money coat. Same material but go with 100 sq ft per gallon coverage.
Applying urethane directly to a tile is an option but not one I have ever heard of or would recommend. I think the epoxy is the way to go from the experiences I have been involved with. Because of the gloss you will get, I would keep a wax coat on it to help prevent scuffs from ruining your art-work.
Good luck and please post it up if you go for it.