Does anyone know why this simple player camera lock script is not working?

Hello, I am making a simple 2D game and I am trying to lock the camera to the player using a C# script. The script works when I do not put the positions of the player and camera into Vector3 variables, but when I do the camera does not lock to the player and I do not see any errors appear in the console. Here is my code:

 using System.Collections;
 using System.Collections.Generic;
 using UnityEngine;
 
 public class CameraLock : MonoBehaviour {
 
     public GameObject player;
 
     private Vector3 offset;
     private Vector3 cameraPos;
     private Vector3 playerPos;
 
     private void Awake()
     {
         cameraPos = transform.position;
         playerPos = player.transform.position;
     }
 
     private void Start()
     {
         offset = cameraPos - playerPos;
     }
 
     private void Update()
     {
         cameraPos = playerPos + offset;
     }
 }

Can anyone tell me what I am doing wrong? Am I using the wrong variable types for storing the x,y, and z values of the positions? Thanks in advanced.