As the title says, I have a scene with three objects, a cube, a sphere, and a cylinder-like you can see in the image below.

What I'm trying to achieve is that when I press the "Rotate" button, the three objects rotate in an anti-clockwise direction, so the cylinder goes where the cube was, the cube goes where the sphere was, and the sphere goes where the cylinder was. If I click the button again, they rotate once again and so on. So far, I managed to make them rotate around an empty object at the center of the "triangle" they form with their initial position.

This is what happens when I first click the "Rotate" button:

As you can see, the object rotates, but they don't keep the same coordinate of the object that was previously in that position, so I was thinking of having them exchange coordinates. How can I achieve that or making them rotate how I want to?

Here is the code I wrote so far:

using System.Collections;
using System.Collections.Generic;
using UnityEngine;
using UnityEngine.UI;

public class RotateObject : MonoBehaviour {

    //rotating objects
    [SerializeField]
    private GameObject cube;

    [SerializeField]
    private GameObject sphere;

    [SerializeField]
    private GameObject cylinder;

    private Renderer cubeRenderer;
    private Renderer sphereRenderer;
    private Renderer cylinderRenderer;

    //rotation target
    public GameObject target;

    private void Start() {

        cubeRenderer = cube.GetComponent<Renderer>();
        sphereRenderer = sphere.GetComponent<Renderer>();
        cylinderRenderer = cylinder.GetComponent<Renderer>();
        gameObject.GetComponent<Button>().onClick.AddListener(Rotate);
    }

    void Rotate() {

        //rotate objects by 120 degrees
        cube.transform.RotateAround(target.transform.position, Vector3.up, -120);
        sphere.transform.RotateAround(target.transform.position, Vector3.up, -120);
        cylinder.transform.RotateAround(target.transform.position, Vector3.up, -120);
    }

}

Thanks in advance for helping me!