THREE.js move camera along path with lookAt target

demo.js

var scene = new THREE.Scene();
var camera = new THREE.PerspectiveCamera( 50, window.innerWidth/window.innerHeight, 0.1, 1000 );

camera.up = new THREE.Vector3(0,0,1);

var renderer = new THREE.WebGLRenderer();
renderer.setSize( window.innerWidth, window.innerHeight );
document.body.appendChild( renderer.domElement );

var geometry = new THREE.BoxGeometry( 1, 1, 1 );
var material = new THREE.MeshBasicMaterial( { color: 0x005E99 } );

var cube = new THREE.Mesh( geometry, material );
cube.position.set(1,10,1);
scene.add( cube );

camera.position.z = 30;

var curve = new THREE.CubicBezierCurve3(
	new THREE.Vector3( -10, 0, 0 ),
	new THREE.Vector3( -5, -15, 0 ),
	new THREE.Vector3( 20, 15, 0 ),
	new THREE.Vector3( 10, 0, 0 )
);

var points = curve.getPoints( 50 );
var geometry = new THREE.BufferGeometry().setFromPoints( points );

var material = new THREE.LineBasicMaterial( { color : 0xffffff } );

// Create the final object to add to the scene
var curveObject = new THREE.Line( geometry, material );

scene.add(curveObject);

var clock = new THREE.Clock()
clock.start()

var speed = 0.5

var pathTarget = new THREE.Vector3(0,0,0)

var render = function () {
  curve.getPoint((clock.getElapsedTime() * speed) % 1.0, pathTarget)
  
  // cube.position.copy(pathTarget)
  camera.position.copy(pathTarget)
  camera.lookAt(cube.position)
  
  requestAnimationFrame( render );

  // cube.rotation.x += 0.1;
  // cube.rotation.y += 0.1;

  renderer.render(scene, camera);
};

render();