I like that. Are there any chocolate chips in there too?

There is no "grease baked into the chain." Clean your chain. Use a citrus degreaser or use a solvent like mineral spirits, but clean your chain. Use a chain cleaning machine or a terrycloth towel or take the chain off and soak it in a jar of solvent, but clean your chain.

Then apply a light lube and wipe it off the outside of the chain -- the pins and rollers inside are all that need to be lubed; lube on the ouside will just attract gunk.

Chains wear out because grit gets inside the moving parts. You need to flush that stuff out before you re-lube. Just wiping and brushing a dirty chain will not do the job.

RichC