Bethany incurred $$20,200$ in research and experimental costs for developing a specialized product during July $2023.$ Bethany went through a lot of trouble and spent $$10,100$ in legal fees to receive a patent for the product in August $2025.$ Bethany expects the patent to have a remaining useful life of $10$ years.

Note: Do not round intermediate calculations.

b$.$ How much patent amortization expense would Bethany deduct in $2025?$