While this sounds good in theory, I suspect that the truth is less straightforward. Yes, mines have a water problem. It starts with rainfall. Even a shallow mine would have a water problem in monsoon times. Therefore, all mines would need a system to evacuate water. Indian agriculture used hand driven pumps for irrigation in the times of Akbar. Moreover, Akbar the conqueror would have slaves at hand. Granted, you'd need more slaves and pumps as the mines got deeper, but that problem was the same in e.g. Welsh tin mines and yet, they kept producing tin.
Another thing Akbar the conqueror would have at hand was loot. Of course, his part of the loot would be horses, precious metals and other good stuff, but the common soldiers would steal anything they could sell, including the pots and pans of every poor household they met. This must have driven the price of copper down as long as the conquests went on, while loss of land would have meant the opposite. Similarly, conquests would have meant surplus cannon, while lost wars would mean demand for copper to make cannons.
Peter