Python program named "YourBudgetID_Students.py" focusing on student data: You have a list of dictionaries representing student information in a school. Each dictionary contains the student's name, grade, and average score. Perform the following tasks: (a) Calculate and display the average score across all students. (b) Identify and display the student with the highest average score. (c) Implement a function that takes a user-input student's name and searches for it in the list. If found, display the grade and average score of that student; if not found, print a message indicating that the student is not enrolled in the school. (d) Implement a sorting algorithm of your choice to sort the students based on their average scores in descending order and display the sorted list. Ensure to use functions for each task and present the results within the main function with appropriate messages.

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