Yes, supplementing zinc has been on my mind for a couple years. Oysters are too expensive but heard an add for one of those cold remedies with but c and zinc and a couple others
vitamins. Trying to remember name. Thought it might be an affordable zinc source.

( Vit c should be from fruits and veg not just ascorbic acid to get full profile.)

Google search listed many otc options.

Here is pub med article.

https://pubmed.ncbi.nlm.nih.gov/22429343/