Change Coord Columbus Mode

Hi, I’m syncing cameras Three and Cesium. I also draw objects using Three on the scene and I have them moving. There is a problem. When I switch to Columbus mode, the Three objects I have continue to fly in 3D mode and do not shift to the plane. How can I solve this problem? Here is the function where I sync the camera:

 function updateThreeJS() {
    // Update Three.js camera field of view to match Cesium camera's vertical FOV
    threeCamera.fov = Cesium.Math.toDegrees(cesiumViewer.camera.frustum.fovy); 
    threeCamera.updateProjectionMatrix();

    // Sync Three.js camera with Cesium camera
    const cesiumCamera = cesiumViewer.camera;
    const cvm = cesiumCamera.viewMatrix;
    const civm = cesiumCamera.inverseViewMatrix;

    // Fix the extraction of camera position and direction from matrices
    const cameraPosition = Cesium.Cartesian3.clone(cesiumCamera.positionWC);
    const cameraDirection = new Cesium.Cartesian3(-cvm[2], -cvm[6], -cvm[10]);
    const cameraUp = new Cesium.Cartesian3(cvm[1], cvm[5], cvm[9]);

    // Convert Cesium camera position to Three.js Vector3
    const cameraPositionVec3 = new THREE.Vector3(cameraPosition.x, cameraPosition.y, cameraPosition.z);

    // Convert Cesium camera direction and up vector to Three.js Vector3
    const cameraDirectionVec3 = new THREE.Vector3(cameraDirection.x, cameraDirection.y, cameraDirection.z);
    const cameraUpVec3 = new THREE.Vector3(cameraUp.x, cameraUp.y, cameraUp.z);

    // Update Three.js camera position and orientation
    threeCamera.position.copy(cameraPositionVec3);
    threeCamera.up.copy(cameraUpVec3);
    threeCamera.lookAt(cameraPositionVec3.clone().add(cameraDirectionVec3));

    // Apply rotation to the cube
    cube.rotation.x += 0.01;

    // Render the scene with the updated camera
    threeRenderer.render(threeScene, threeCamera);
};