Question

Will Archimedes buoyancy be influencing the block located tight at the bottom of the tank with liquid?

Answer 1

Buoyancy results from two forces: the fluid pressure on the submerged object from above and below. Below it is stronger, because the lower part of the object is located deeper. If there is no any liquid at the bottom (the object is closely adjacent to the bottom), then there is no pressure force of the liquid.