Shift Center of Mass with Bullet Physics/Ammo.js

I am using the JavaScript port of Bullet Physics, Ammo.js, with Three.js and would like to shift the center of mass of an object. In other words, I want move the center of mass to a specific point and therefore make that part of the object heavier.

The only similar question I could find was this one from 2007 and there is no working code or demo that would resolve the issue. I tried a similar approach to what the user initially attempted, with the same result: The object’s center gets moved, instead of just the center of mass.

const info = new Ammo.btRigidBodyConstructionInfo(mass, motionState, shape, localInertia);
const body = new Ammo.btRigidBody(info);

// My attempt, which unfortunately physically moves the object to that vector

body.setCenterOfMassTransform(new Ammo.btVector3(1, 0, 0));

If anyone knows how to achieve this, it would be greatly appreciated. Answers in other languages (like C++) are also welcome if I can translate the concepts/code to Ammo.js.