如何定义将由不可变Set比较方法使用的自定义相等操作

import java.util.*;

public class CustomSetComparator {

    public static void main(String[] args) {
        Set<String> set1 = Set.of("apple", "banana", "orange");
        Set<String> set2 = Set.of("orange", "banana", "apple");

        CustomSetComparator comparator = new CustomSetComparator();
        Set<String> sortedSet1 = comparator.sortSet(set1);
        Set<String> sortedSet2 = comparator.sortSet(set2);

        System.out.println("Set1 equals Set2: " + sortedSet1.equals(sortedSet2));
    }

    public Set<String> sortSet(Set<String> set) {
        TreeSet<String> sortedSet = new TreeSet<>(new StringComparator());
        sortedSet.addAll(set);
        return Collections.unmodifiableSet(sortedSet);
    }

    private static class StringComparator implements Comparator<String> {
        @Override
        public int compare(String s1, String s2) {
            return s1.compareTo(s2);
        }
    }
}