@jttheclockman is right. I missed the important "table saw" in his comment. He is indeed correct that nearly all table saw blades are carbide tipped. Carbide tipped bandsaw blades are far less common.
I clean table saw blades with commercial blade cleaners that you can buy at woodworking stores and big box stores. The ones I have now are:
Boeshield Blade and Bit Cleaner (Scroll down the page to see the product.):
https://boeshield.com/products/
CMT Orange Tools Blade and Bit Cleaner:
https://www.cmtorangetools.com/na-en/systems-and-accessories/formula-2050-blade-and-bit-cleaner
I bought the Boeshield when I bought my first table saw a few years ago. (I learned woodworking on a radial arm saw.) The fat bottle of CMT was on sale soon after, and I bought it on impulse. Neither of them cost much, especially considering that they have lasted for years.
I had planned to switch to household Formula 409 cleaner when those bottles run out, but I am not close to using them up yet. I clean the blades when they seem to need it, but it doesn't take much spray to clean a blade, so I still have a lot on hand.
-> Now I wonder whether Formula 409 fits jttheclockman's description of cleaners that are potentially damaging to carbide tipped blades. Does anyone know?
I clean table saw blades on one of those orange lids for Home Depot buckets. They are inexpensive and have an inner ring that supports the blade while leaving the teeth open for cleaning. (To flip or remove the blade, use the arbor hole in the center.) I use cheap plastic and brass brushes. You can get them at Harbor Freight and many other places.
My hunch is that
@Woodchipper's bandsaw blade is worn and the gullets are full. Woodchipper may have tried cutting something thick with a blade that has too many TPI (teeth per inch). That loads up the gullets, increases friction a lot, and puts a lot of wear and tear on the blade.
When I first got a bandsaw, I used a 12 TPI blade for "general purpose" cutting, and it soon got "cruddy" with the gullets filled with hardened sawdust. I took it to a local shop with bandsaw blade experts to ask about cleaning. They told me that it would be a waste of time to clean it. The blade was gone and useless, and cleaning would not make a difference.
Bandsaw blades are not terribly expensive, so I replaced it and learned better blade practices, matching the blade to the type and thickness of wood being cut as well as the type of cut. I admit to being lazy about changing bandsaw blades, but learning to be fast and efficient at blade changing would be a good investment of time and would result in less overall bandsaw blade wear and tear.