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I believe that your daughter would need to go to an Lexus dealership or use a certified locksmith that can retrieve the key code(or pin) with an scan tool to program a new main key-fob.
We've found that local locksmith with scantool was able to provide 2 new fobs with warranty for about half price of dealership.
The best solution is to find a local locksmith company. Even when factoring in the cost of purchasing an original key from the locksmith, the price will be very reasonable compared to a dealership.
