You aren't going to get rid of the smell 100% unless you can clean the player 100%.

Best options are to get some type of cleaner solution and wipe down the entire outside of player and take the top off and wipe the
inside of the metal casing.

Then you have the chip board and parts, I would try to wipe down as much as possible and hope for the best.
Unless you decide to make some type of box to fit the player in with baking soda and let it sit inside said box OR
wash all the inside somehow you won't get rid of the smell 100% but it will mostly be gone.

You have to run it. LD players are giant fans and running them hugely helps with this exact problem. I know since when I got my LD-W1 it smelled like a 1978 Trans Am.

It doesn’t sound like you’ll be able to live with the smell that long so please sell the smelly thing to me since I can handle it and I’d love to have another 99.

Just double check if the baking soda will mess anything up.
I think the baking soda may have moisture and may mess up something???
Just double check and do it at your own risk.

I have had this work and not work with books that stank.

I'd try a heap of silica gel packets myself, you can even throw them inside the unit as long as you can still get to them using chopsticks.
Yeah I know it's mostly used to get rid of moisture but it can help with odours.

The Pro-Scan player I acquired 20 years ago came from a smoker’s house and did have that smell when I took possession of it.

In an attempt to get rid of the smell, I just did a light clean-up on the exterior of the casing (just water) and wiped away any heavy layer of dust in the player with a cloth (it was really just the tray since it was the only part that was exposed). It still smelled like a cigarette but after having it sit around exposed for at least a year it totally went away.

So in the end, just leave it out and let time resolve it. I would not recommend using any chemicals on it just in case it might damage the player.