AMC 8 2019 Problem 13

A palindrome is a number that has the same value when read from left to right or from right to left. (For example, 12321 is a palindrome.) Let $N$ be the least three-digit integer which is not a palindrome but which is the sum of three distinct two-digit palindromes. What is the sum of the digits of $N$? $\textbf{(A) }2 \textbf{(B) }3 \textbf{(C) }4 \textbf{(D) }5 \textbf{(E) }6$