It's easy! Just grab hold of the dry spout and tug to remove it. You might find this helpful if you're trying to rinse out the Laundry Wash bottle when preparing it for recycling, or if you happen to run into difficulty accessing the last bit of detergent.
To put the spout back in, simply place it in the bottle opening and gently push it in until you hear a snap. The snap means it is correctly reinserted. Once reinserted, you can spin the spout to the direction that works best for you.