BOUYANCY, EUREKA CAN AND GETTING HEAVIER

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There is an Eureka can and an object is put on it.

If the object is floating, then there is no weight difference for the water container. ( $G=F_k$ )
If the object is fully submerged, then the water container is getting heavier since no more bouyancy force is equal to the weight of the object. ( $G>F_k$ ). It will be $G-F_k$ heavier than before.
If the object floating in its own liqud, (e.g. ice in water) then if the solid part melts the liquid level does not change.