如何让Collectors.groupingBy()返回排序后的LinkedHashMap？

import java.util.*;
import java.util.stream.Collectors;

public class GroupingByExample {
    public static void main(String[] args) {
        List<Person> people = Arrays.asList(
            new Person("Alice", 20),
            new Person("Bob", 30),
            new Person("Charlie", 20),
            new Person("David", 30),
            new Person("Eve", 25)
        );

        // 使用 Collectors.groupingBy() 分组，并将结果转换为 LinkedHashMap
        Map<Integer, List<Person>> groupedByAge = people.stream()
            .collect(Collectors.groupingBy(Person::getAge))
            .entrySet().stream()
            .sorted(Map.Entry.comparingByKey())
            .collect(Collectors.toMap(
                Map.Entry::getKey,
                Map.Entry::getValue,
                (oldValue, newValue) -> oldValue,
                LinkedHashMap::new
            ));

        // 打印结果
        groupedByAge.forEach((age, list) -> {
            System.out.println(age + ": " + list);
        });
    }
}

class Person {
    private String name;
    private int age;

    public Person(String name, int age) {
        this.name = name;
        this.age = age;
    }

    public String getName() {
        return name;
    }

    public int getAge() {
        return age;
    }

    @Override
    public String toString() {
        return name;
    }
}