A software development company acquires a complex software license for its high$-$end product management system, valued at $$3,000,000.$ The license has a useful life of $8$ years. To reflect the diminishing value of the software over time, the company decides to use an accelerated amortization method that reduces the annual amortization rate by $15\%$ each year. Calculate the amortization expense for each of the first three years.