3 weeks is very early in the course of Nissen recovery. It can take weeks to several months to get pre-op swallowing back. There is swelling for a long time. How well you swallowed before the surgery determines what you can expect - and should have been tested before surgery. I have polio throat, so my wrap was a partial.
Don't complain too much about swallowing too soon, unless you can't swallow liquids. Some docs will immediately want to do a dilation. I had one resident who wanted to do a scope and insisted that he would do a dilation also, even though I refused it! So I said no scope. I could not convince that dunce that I was swallowing as well post-op and I had pre-op, due to the polio. There is no point in wrecking a perfectly good wrap unless after a very long time you still get soft foods stuck. Actually, some soft foods can stick before they ever get to the wrap. I can feel toast bits in my throat, well above the valve, for as much as half an hour and have to wash them down with my coffee. My problem is not due to the wrap. Part of the problem, besides a weak swallow as tested, is pain meds that keep my throat very dry. So, consider that as something that can affect you also.
If you can't stand to chew meds and don't have them as liquid, one secret is butter. They're tasty that way too. Check what the manufacturer allows. Some capsules can be sprinkled on applesauce. Don't mess with time-release if the method involves the pill or capsule shell like a tiny hole for release. But, Nexium says their coated granules can be sprinkled. Crushed meds that are bitter - try putting them in strawberry jam. I just chew my tramadol and ignore the taste.