Since an abrasive action is required to remove the burnt protein material after a significant amount of baking soda is covered, I suggest using a stiff plastic scraper and pressure to lift layers of the adhered material. The peeling tensions, shear, of a dry stiff material help with removal.
I found that a 1/8 to 1/4 inch thick application of baking soda with a spray of water without stirring or puddling of water encourage the ions to migrate and bond at the metal interface.
After the application is dried, a spray of water will encourage more ions to combined at the metal interface.
We might view this as a way of drying the burnt material like we might dry meat. The tension and bonding at the metal surface is releasing and favoring the burnt protein structure.
So the adhesion of the protein to the material surface is altered by changing the properties of the Burt material to create more stress or tension or contraction by shortening the bonds of the protein and changing the bond strength at metal or ceramic surface.
Adding water relieves the stress. So a dry mechanical scraper acts like a knife lifting encouraging the dry tensile material to pull away from the pan.
Take the wet pan with no liquid in it.
Coat the bottom area with thick Baking Soda
Spray mist the baking soda with water
Let dry for 4 hrs
Spray mist with water again
Let dry over night
Scrape the dry material with a strong force of a hard plastic kitchen scraper blade
Persist with strong force from clean surface across material coating.
This applies to stainless steel counters and stoves