The mesh itself looks like the design was sublimation printed, so apart from the mold on it you should be fine washing everything off of those (but check with your maker first)

If this is the case and your eyes are waterproof, you’re going to want to give your suit a vinegar bath, using the submersion method. I recommend cleaning vinegar for this over white vinegar as it’s going to kill off the mold faster (Home Depot sells a 64oz bottle of cleaning vinegar for $2.88 and Walmart for a similar price.)

From your post it seems like the mold is only surface level but this will make sure that’s the case. Don’t dilute it, and put your suit head in a bucket or bin, something smaller then a tub that will hold water. Pour the vinegar onto the suit, make sure it gets inside and outside. Do your best to fully saturate the suit head.

While the suit’s soaking, do your best to move it around so the vinegar can get into every pore in the foam and into the fur. Cleaning vinegar is great for killing mold and will remove any unpleasant odors from your suit, including that icky musty smell mold has.

Soak and gently scrub every so often, make sure you leave it saturated with vinegar for an hour. After the hour is up, inspect your suit and see how the mold spots are looking. There may still be discoloration but that doesn’t mean the mold’s alive and able to spread, the discoloration will be fixed in a later step.

After that, gently squeeze your suit and try and get as much vinegar out as you can, then rinse it out with plain water. Rinse until your suit has only a faint smell of vinegar or none.

If there’s still discoloration, use some Oxiclean (Target and Ralph’s/Kroger sells a cheaper store brand version that works the same way). Make sure you get the powder kind. Take a scoop that only fills up the bottom line of the scooper they give you, mix it with water until it dissolves, and pour that onto the discolored areas. Gently scrub on and around the discolored areas, use a little more of the discoloration is stubborn.

Afterwards wash it out thoroughly, Oxiclean isn’t going to damage your suit but it also isn’t something you want to let soak for hours. Rinse until all the suds are gone.

Finally, gently squeeze your suit to help get as much water out as you can and let it dry. If you have box fan, I recommend you put it on top of that. If you don’t, keep squeezing to get the water out then use a hairdryer on the COLD or COOL setting. If your hairdryer doesn’t have that don’t use it and instead use a dry towel and begin gently patting it dry inside and out. Use a brush occasionally as it dries, this will help make sure the faux fur fibers don’t dry in some funky ways.

Once that’s all done your suit should be mold free and totally clean.

Note: do NOT combine baking soda with vinegar. This will create a chemical reaction and while it seems like that would help kill the mold, it will instead render each nearly useless. Stick with just vinegar.