Flooring Tile - Running a Wet Saw Without Water?

I have a feeling this is a stupid question, I'm just not sure if it's stupid because the answer is obviously 'yes' or obviously 'no'....

I own a cheap wet saw I bought to cut ceramic tile for a flooring project....but now I need to cut a piece of decorative trim in half. The piece is so small and I'm not very skilled with a circular saw and I don't own a table saw. I only need to cut this one piece of trim though. I tried using a hand saw and it cut...but it ended up jagged and ugly.

I'm thinking....I could cut the piece of trim on my wet saw and save myself the cost of another saw, but is that an bad idea?

If cutting it dry is a bad idea - could I just run the wood trim through it wet? Then just dry off the one piece of trim and call it a day?

I don't want to run my wet saw, but I'm also pretty much out of money :)

Your wet saw blade grinds the tile material to cut. The blade will just burn the wood. I don't think you will damage the saw at all, just wreck the wood. Although I have never tried it, maybe try a test piece?

I agree. What type wood are you cutting? Oak will burn with a wood blade, so it will flame with the diamond blade :"eek" JK. Try it on a scrap. You'll never know until you try.
To alleviate the jaggedness, try cutting it from the back side with your power saw. Less feathers that way. Are you cutting at 90 degrees or at an angle?

Also wrap with masking tape before cutting and use a fine tooth blade, A hack saw with a new blade should work.