An investment group acquires a retail property in Dallas, Texas for $$2,500,000.$ They project that the net operating income will be $$176,000$ initially and will appreciate at a conservative annual rate of $2\mathrm{.}65\%$ per year. The investment group expects an initial cap rate of $7\mathrm{.}0\%.$ They believe that a cap rate of $8\mathrm{.}0\%$ is realistic after $6$ years.

If the investor plans to sell the property at the end of $6$ years, what value should the investment company expect to sell the property at that time?