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Cooler feed is irrelevant. You will need to drop the pan and filter and if you want to empty the trans you will need to remove the valve body. To empty a torque converter, you will need to drill out the torque converter and lay it on its axis. It will never pump itself dry, just like a human, even if you cut the carotid artery, it will never bleed dry. Transmissions are messy and never dry unless 100% disassembled.