leetcode 3024: type of triangle : python solution

LeetCode problem 3024 involves identifying and classifying triangles based on the lengths of their sides. Given three integers representing the sides of a triangle, the task is to determine whether the triangle is valid and, if so, classify it as one of the following types:

1. Equilateral Triangle: All three sides are equal.
2. Isosceles Triangle: Two sides are equal.
3. Scalene Triangle: All three sides are different.

The solution requires checking if the sides satisfy the triangle inequality theorem (the sum of any two sides must be greater than the third) before classifying the triangle. The problem tests geometric understanding and conditional logic.