General rule of thumb is 20 drops = 1 mL. Therefore 1/2 drop = 0.025 mL. Not sure you’re going to be able to find a syringe that can measure that though.
If it is just an iodine supplement, you can add it all, or as folks have suggested, add 1 drop to a cup of water, stir to mix, and add half that water to the tank.