Merge Close Characters

Description

You are given a string s consisting of lowercase English letters and an integer k.

Two equal characters in the current string s are considered close if the distance between their indices is at most k.

When two characters are close, the right one merges into the left. Merges happen one at a time, and after each merge, the string updates until no more merges are possible.

Return the resulting string after performing all possible merges.

Note: If multiple merges are possible, always merge the pair with the smallest left index. If multiple pairs share the smallest left index, choose the pair with the smallest right index.