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Hey Novus, were you able come up with a solution for counterbalancing?

I tried sharing a detailed comment but it got held up for moderation. I removed details partly in hopes that my post would go through, but it made no difference. The gist is that I think it's possible to construct a device vaguely similar to yours - having a goal of raising/lowering the fluid level in order to float a buoyant mass upward in a communicating vessels container, locking it in place, then dropping it like shown in 9A -> 1A.

If you haven't come up with a solution for counterbalancing, have you considered using a spring arrangement and determining a spring constant?

The thing is, I did some math and I don't think there exists a spring constant that would work for your device due to the unusual shape of your "A" container. Also I think that, if using a counterbalancing spring, it'd be easier to raise/lower the B container rather than trying to counterbalance a "V" mass (which acts heavier as it becomes further immersed in the fluid).