DK-GEORGMOHR 2024 Problem 3

Georg writes a $100$ letter word where he uses $60$ A's, $12$ B's and $28$ C's. The word is a palindrome, i.e. a word which reads the same backwards as forwards. If he removes the last $34$ letters, the word is still a palindrome. Is it possible to determine which letter is the $34$ th in the word?