Three JS - make object tilt away from mouse on hover?

Question

I’m trying to make a piece using three js where the object tilts away from the mouse on mouseover, like the locations here (mouse over the VIST tab):

https://meowwolf.com/explore

I don’t know whether this utilized three js or another library, but I don’t know how to go about it. I can’t find any examples on three js.org with the same “tilt away” technology.

So far Im just working with the basic cube example, but ultimately want to be able to "tilt" other objects/particles.

var camera, scene, renderer;
            var mesh;
            init();
            animate();
            function init() {
                camera = new THREE.PerspectiveCamera( 70, window.innerWidth / window.innerHeight, 1, 1000 );
                camera.position.z = 400;
                scene = new THREE.Scene();
                var texture = new THREE.TextureLoader().load( 'textures/crate.gif' );
                var geometry = new THREE.BoxBufferGeometry( 200, 200, 200 );
                var material = new THREE.MeshBasicMaterial( { map: texture } );
                mesh = new THREE.Mesh( geometry, material );
                scene.add( mesh );
                renderer = new THREE.WebGLRenderer( { antialias: true } );
                renderer.setPixelRatio( window.devicePixelRatio );
                renderer.setSize( window.innerWidth, window.innerHeight );
                document.body.appendChild( renderer.domElement );

How can I do this, starting with just a box?

FOR CLARITY:

The meow wolf site has the objects tilt toward the corner of the object where the mouse is, and lerp back to original rotation when mouse exits