Ahem. That must be rich! Hmmm. I wonder if something fibrous might help . . . I use straw in the bottom of the day pen and when it gets about saturated I rake it out and put it on the compost. I have also put some coir under the straw. It has a nice ability to let water pass through, so...
Your plants will rise up and call you blessed if you give them that duck stuff.
Mine like duck poop soup (dissolved in cool water, not boiling water!), duck-enriched straw, duck-straw mulch, and the occasional straight poo treat. It speeds up my compost process, too.
If you do have an area...