pemeliza had a very similar recent problem to the OP’s here. As I recall, she CAME CLOSE to appealing but put the comps in front of the County appraisers and it didn’t take that long for them to come around.
IMO, as long as you didn’t expand your house’s “footprint” with your remodel, I do not believe it will affect it’s assessed value. EconProf is correct in that the County Assessor PRIMARILY goes by sf of any existing structure on the premises when assessing properties.
I DID have a successful stipulation in lieu of a hearing and the next year the assessor VOLUNTARILY lowered my assessment to my satisfaction (so not worth going thru the procedure again at present).