How will the oscillation period of a bucket of water, suspended on a long cord, change if water

How will the oscillation period of a bucket of water, suspended on a long cord, change if water gradually flows out of the hole in its bottom?

If we neglect friction, and our bucket is filled entirely to the brim, we get the following picture.

At first, the period of oscillation will begin to gradually increase as the water flows out of the bucket.

We will observe such a phenomenon because the center of gravity in the bucket will begin to decrease. And because of this, the length of the pendulum will grow.

Then the period will decrease. This will be due to the increase in the center of gravity of the system itself.

Well, when there is no water left, the period will be equal to the initial one.