Third Person Space Shooter Camera (Rogue Squadron Like Camera)

Yes, I would like the camera to follow the player from behind. The code I have provided works until I rotate the plane in the Z which is necessary for my flight controller. That is the same for most of the "follower cameras" they will work if you just have to follow the player on the ground, but not in this more freeform flight situation. Like I stated previously if I make the ship a child of the camera and have the controls affect the camera I get essentially what I want though I would like to do this through code and not have to parent objects. Also when I have set everything the same as described in the code above and set the camera rotation to the p[lane rotation that doesn't work either (understandably though it seemed like a good idea at the time). Thank you for any help.

Finally resolved this, used input from people all over. Including this youtube video Youtube Video. Big Issue Is I wasn't thinking about other ways to use the transform.lookat / quaternian.lookat creatively.Thank you, everyone, for all of your help!

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

 public class NewCameraScript : MonoBehaviour {
 
     [SerializeField] private GameObject _000;
     [SerializeField] private GameObject _001;
 
     // Use this for initialization
     void Start() {
        
     }
 
     // Update is called once per frame
     void LateUpdate() {
         _000.transform.position = _001.transform.position + ((_001.transform.forward * -10f) + (_001.transform.up * 2f));
         Quaternion _wantedRotation = Quaternion.LookRotation(_001.transform.forward, _001.transform.up);
         _000.transform.rotation = _wantedRotation;
     }
 }
 

Here is my code to follow an object you can change where the camera looks thou

 using System.Collections;
 using System.Collections.Generic;
 using UnityEngine;
 
 public class CameraFollowController : MonoBehaviour
 {
     void start ()
     {
      followSpeed = 10;
     lookSpeed = 75;
     }
 
     
     public void LookAtTarget()
     {
         Vector3 lookDirection = objectToFollow.position - transform.position;
         Quaternion rotation = Quaternion.LookRotation(lookDirection, Vector3.up);
         transform.rotation = Quaternion.Lerp(transform.rotation, rotation, lookSpeed * Time.deltaTime);
     }
     public void MoveToTarget()
     {
         Vector3 targertPos = objectToFollow.position + 
                              objectToFollow.forward * offset.z +
                              objectToFollow.right * offset.x +
                              objectToFollow.up * offset.y;
         transform.position = Vector3.Lerp(transform.position, targertPos, followSpeed * Time.deltaTime); 
 
 
     }
     private void FixedUpdate()
     {
         LookAtTarget();
         MoveToTarget();
     }

     public Transform objectToFollow;
     public Vector3 offset;
     public float followSpeed;
     public float lookSpeed;
 }