Close matches for haze gray and deck gray

Try Neutral Gray for Haze Gray and Gunship Gray for Deck Gray.

Liberty Ships were not operated by the Navy. They were administered by the United States Maritime Commission, which was a federal agency and part of the auxiliary fleet.

As usual, Trumpeter's color suggestions belong in the waste basket. Liberty ships were the same color horizontal and vertical; the undersides of the overheads are often but not always white.

A good color match is 5-O Ocean Gray but it's a commercial, not a military color and they were built in lots of different shipyards.

Model Master has a paint of that name. I think it's a little dark, but it looks pretty good.

I used Ocean Gray #2 by Tamiya on my liberty ship, diluted with 19% flat white to make the paint look aged.  There are only two colors, hull red, and ocean gray used as primary colors on those ships.  The hatches, life preservers, etc. were not ocean gray, but there is lot of reference material and pictures out there on the internet to figure out what to paint those items.