Python: String: Sort Types

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Write the function sort_type that take a string and returns another string whose characters are sorted by their types based on the following criteria: First, lower case characters sorted alphabetically followed by upper case characters. Second, numbers sorted in descending order. Third, punctuation should be sorted as !,-.:;?. Any other character not mentioned above should be removed from the string.

sort_type('we all agreed; it was 3 magnificent evenings!') -> 'aaaacdeeeeeefgggiiiillmnnnnrssttvww3!;'

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