I would just add a little at a time to your fermentation mash. Allowing the mash to ferment with LAB or ACV or natural yogurt will convert the sugar and corn syrup alcohol to good probiotics, no problem for your chickens. I ferment my mash for 4 days, I add molasses to the mash, by the time I feed the FF there is no longer any alcohol in the mash.
Oh my. Glad I didn't see your post until I'd already round-filed the mix. LOL. I'd probably have 4 separate containers all set up, taking up room in my kitchen cupboard, so I can rotate and have mash available every day....