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Random color distribution on a tile material

So I am working on a hospital room, and right now I’m trying to get the floor tiling correct. This is what I have so far (thanks to a few tutorials). Based on a random noise generator, each UV tile will receive a slight darkening effect and a random rotation snap of 90°.
Current material
But right now, I’m struggling to wrap my head around randomly distributing a pool of colors across the tiles, to I’d estimate 1/5 tiles. I have the specific colors set up that I’d like to distribute. For reference, here’s what the actual room looks like.
Guys, I am not a material or blueprinting guru (yet) so I was hoping to get some advice on how to distribute this pool of colors randomly.

I don’t even know how much sense this makes, but I came up with this:

( it’s only the bottom part that matters ). Basically I’m using that texture with a tile missing to randomly hue the color. The rest is the same as your material.

Result:

The colored tiles, in fact, have not inherited the roughness or texture from the albedo, so that still needs work. But the new texture is the crucial think I think…