Reduce to Palindrome

A binary string $S$ is said to be *good* if it can be converted into a palindrome$^\dagger$ by performing the following operation several (possibly zero) times: - Choose two adjacent equal characters in $S$ and delete them. Formally, choose an index $i$ ($1 \leq i \lt |S|$) such that $S_i = S_{i+1}$, and delete $S_i$ and $S_{i+1}$ from $S$, without changing the order of the other elements. For