A dry battery and a wet battery and ...?

Answer 1

To put simply a "dry" battery is one that does not have any electrolyte (acid)... as such a dry charged battery is one in which the plate/cells of the battery are fully charged but will need to add the acid at the end user side before the battery is activated.

The Wet battery, is one that comes from the factory/production side fully charged and ready to use (with the acid inside).

Wrong. Both wet and dry batteries contain an electrolyte, but in the dry battery the electrolyte is absorbed into a solid material forming a damp paste. The dry battery is not really dry, its actually damp. The important difference is that the liquid electrolyte in a wet battery can spill and the damp paste electrolyte in the dry battery can't.

Lead-acid batteries are commonly shipped and sold without the electrolyte as this simplifies shipment and extends shelf life in the store. But they are still wet batteries as they cannot function until the electrolyte is added. True dry batteries need nothing added to function.