The XYZ corporation pension plan provides a lifetime annual income to its employees upon retirement at age $65.$ The plan provides $4\%$ for each year of service of the employee's salary upon retirement. Moreover, those retiring after $65$ have their benefit increased by $0\mathrm{.}6\%$ for each year beyond $65$ that they work.

Caitlin retires at age $70$ with $18$ years of service. If her salary upon retirement is $$57,410,$ what is her annual pension benefit?