My ducks live in my garden. They have grass and a mulberry bush to hide under. The rest of my plants are in raised beds surrounded by short fencing. I remove the fencing on some when the plants are big. Tomatoes, okra, peppers (they do eat a few), large vining squash, corn, and collard greens have all survived fence removal. Onions, garlic, lettuce, and peas do not survive. My sweet potato vines eventually grow out of the enclosed space and the ducks keep it trimmed. In general they don’t seem to like herbs. They usually leave my basil, cilantro, oregano, thyme, and dill alone. Here is an old picture. I have enlarged the whole space since then and grass has grown in.
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Nice garden!