Word Analytics

Create a function named analyze_text that analyzes words in a text string.

Your function should:

1. Count unique words (case-insensitive)
2. Find all words that appear more than once
3. Identify all palindrome words (words that read the same forwards and backwards, like "level")

Return a dictionary with three keys:

• unique_count: the number of unique words (count also repeated words once each)
• repeated_words: a sorted list of words appearing more than once
• palindromes: a sorted list of palindrome words

Notes:

• Treat words as case-insensitive (e.g., "Hello" and "hello" are the same word)
• Remove any punctuation (.,!?:;"()) from words
• Sort both the repeated_words and palindromes lists alphabetically

Example Input:

"Madam saw a racecar. Dad said hello hello to mom."

Expected Output:

{
    'unique_count': 9,
    'repeated_words': ['hello'],
    'palindromes': ['a', 'dad', 'madam', 'mom', 'racecar']
}