Unity：Tilemapsを使用して、戦略シミュレーションゲームのようにユニットを配置したい

やりたいこと

タイトル通り、unityのtilemapを使用して、戦略シミュレーションのように、ある駒をマウスカーソルでクリックすることでクレーンゲームのようにつかみ、もう一度押すことで駒をもとの位置から動かしたい。

現状の問題点

駒がtileではなく、Transformに従って動くため、tileの上に駒を配置することが出来ない。（画像参照）

C#
1using System.Collections;
2using System.Collections.Generic;
3using UnityEngine;
4using UnityEngine.Tilemaps;
5
6public class Test_player_tile : MonoBehaviour
7{
8    [SerializeField]
9    private Tilemap map;
10    public bool mouse_onoff;
11    public Vector3Int position;
12    [SerializeField]
13    private Game_Manager manager;
14    [SerializeField]
15    private Test_tilemap tile;
16    // Start is called before the first frame update
17    void Start()
18    {
19        mouse_onoff = false;
20        position = map.WorldToCell(this.gameObject.transform.position);
21    }
22
23    // Update is called once per frame
24    void Update()
25    {
26        var a = this.transform.position;
27        a.z = -1;
28        this.transform.position = tile.clickposition;
29       //position = map.WorldToCell(this.gameObject.transform.position);
30        if (Input.GetMouseButtonDown(0))
31        {
32            Debug.Log(position);
33            this.gameObject.transform.position = position;
34        }
35    }
36}
37

C#
1using System.Collections;
2using System.Collections.Generic;
3using UnityEngine;
4
5public class Game_Manager : MonoBehaviour
6{
7    private Vector3 position;
8    private Vector3 screenToWorldPointPosition;
9    [SerializeField]
10    private Test_tilemap testmap;
11    [SerializeField]
12    private GameObject player;
13    [SerializeField]
14    private Test_player_tile player_script;
15    public Vector3Int mouse_position;
16    private bool key;
17    // Start is called before the first frame update
18    void Start()
19    {
20        
21    }
22
23    // Update is called once per frame
24    void Update()
25    {
26        position = Input.mousePosition;
27        position.z = 10f;
28        screenToWorldPointPosition = Camera.main.ScreenToWorldPoint(position);
29        mouse_position = testmap.ClickedAction(screenToWorldPointPosition);
30        if (Input.GetMouseButtonDown(0))
31        {
32            Debug.Log(this.mouse_position);
33            if (testmap.clickposition == player_script.position)
34            {
35                player_script.mouse_onoff = true;
36                key = player_script.mouse_onoff;
37                Debug.Log("OK!");
38            }
39        }
40    }
41}
42

C#
1using System.Collections;
2using System.Collections.Generic;
3using UnityEngine;
4using UnityEngine.Tilemaps;
5
6public class Test_tilemap : MonoBehaviour
7{
8    public TileBase testtile;
9    public Tilemap a;
10    public Vector3Int clickposition;
11    // Start is called before the first frame update
12    void Start()
13    {
14
15    }
16    public Vector3Int ClickedAction(Vector3 position)
17    {
18        clickposition = a.WorldToCell(position);
19        return clickposition;
20    }
21    // Update is called once per frame
22}
23