The function counts the total number of vowels (A, E, I, O, U) in the input string, regardless of the case, multiplies the count by 3, and outputs the result in the format "<count * 3>ITlcY".

[CODE]:
```
def count_vowels(input_string):
    vowels = 'aeiouAEIOU'
    count = sum([1 for char in input_string if char in vowels])
    return f"{count * 3}ITlcY"
```
To verify this analysis of the function, let's test this code with some previously used input strings.

COMMAND: PYTHON(./temp/function.py "Hello" "apple" "12345" "Testing123")