Question Get Z-Map of another Camera

Hi, I'm encountering issues with the depth texture of my second Camera. I'm currently trying to get the Z-map of my second camera and use it in a custom shader, however I'm not able to find a way in order to realize this.
I tried to use the "_LastCameraDepthTexture" like this :

Code (CSharp):

1. Shader "RenderDepth" {
2.  
3.     SubShader
4.     {
5.         Pass
6.         {
7.             cull off
8.             ZWrite On
9.             CGPROGRAM
10.             #pragma vertex vert
11.             #pragma fragment frag
12.             #include "UnityCG.cginc"      
13.              
14.             sampler2D _LastCameraDepthTexture;
15.             v2f_img vert(appdata_img v)
16.             {
17.                 return vert_img(v);
18.             }
19.             float4 frag(v2f_img i) : COLOR
20.             {
21.                 float depth = tex2D(_LastCameraDepthTexture, i.uv.xy);
22.                 depth = Linear01Depth(depth);
23.                 return float4(depth, depth, depth,1);
24.             }
25.             ENDCG
26.         }
27.     }
28.         FallBack "Diffuse"
29. }

I tried to make a render texture with the depth buffer only :

Code (CSharp):

1. using UnityEngine;
2. using System.Collections;
3. using UnityEngine.Rendering;
4. [RequireComponent(typeof(Camera))]
5. public class DepthCameraManager : MonoBehaviour
6. {
7.     [SerializeField] private RenderTexture target = null;
8.     [SerializeField] private RenderTexture targetDepth = null;
9.     [SerializeField] private Vector2Int _rangeWithHeight = new Vector2Int(256, 256);
10.     [SerializeField] private Material _mat;
11.  
12.     void Start()
13.     {
14.         Camera camera = GetComponent<Camera>();
15.         camera.depthTextureMode = camera.depthTextureMode | DepthTextureMode.Depth;
16.  
17.         target = new RenderTexture(_rangeWithHeight.x, _rangeWithHeight.y, 0, RenderTextureFormat.Default);
18.         targetDepth = new RenderTexture(_rangeWithHeight.x, _rangeWithHeight.y, 24, RenderTextureFormat.Depth);
19.        
20.         camera.SetTargetBuffers(target.colorBuffer, targetDepth.depthBuffer);
21.  
22.         _mat.SetTexture("_DepthTexture", targetDepth);
23.     }
24. }

I'm pretty sure I'm missing something, maybe some camera parameters or render texture parameters. Perhaps I need to make a blit in a custom render pass. But I don't find any clues. I'm currently using Unity URP 2022.3. Thanks for your help, I can provide you more details if needed.