Trying to understand an object composition pattern which features a factory and a function based mixin technique

Question

I'm trying to understand behavior of function based composition in JavaScript.

const Animal = (name) => {
  let properties = { name };
  return ({
    get name() { return properties.name },
    set name(newName) { properties.name = newName },
    breathe: function() {console.log(`${this.name} breathes!`); }
  })
}

const aquaticKind = (animal) => ({
  swim: () => console.log(`${animal.name} swims`)
})

const walkingKind = (animal, noOfLegs) => {
  const properties = { noOfLegs }
  return ({
    get noOfLegs() { return properties.noOfLegs },
    set noOfLegs(n) { properties.noOfLegs = n; },
    walk: () => console.log(`${animal.name} walks with ${properties.noOfLegs} legs`)
  })
}

const egglayingKind = (animal) => ({
  layEgg: () => console.log(`${animal.name} laid an egg`)
})

const Crocodile = (name) => {
  const info = Animal(name);
  return Object.assign(info,
                       walkingKind(info, 4),
                       aquaticKind(info),
                       egglayingKind(info)
                      );
}
const snooty = Crocodile('snooty');
snooty.breathe();
snooty.swim();
snooty.walk();
snooty.name = "coolie";
snooty.noOfLegs = 23 // I expected this to get update to 23
snooty.swim();
snooty.walk();
snooty.layEgg();

If you run the code above, you will see that noOfLegs never get updated, while name get updated. I can't seem to wrap my head around this. How do we make noOfLegs get updated too?