Write a Python program called loyalty$\_$discount.py to compute and display the dollar amount of the discount a client receives for a purchase from a store chain called Apex. Apex customers must have a store membership. The discount rate received by a customer for a given purchase depends on the purchase amount, the number of years as a member, and a base discount rate. The purchase amount, the member years, and the base discount rate are to be provided as user inputs to the program. The discount rate is applied to the purchase amount according to the following schedule:

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