When at the Crafting Table trying to craft warped fungus on a stick or carrot on a stick, the recipe book will show red if the fishing rod has any durability damage on them at all. Despite this you can still craft both items.
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We're tracking this issue in MC-129057, so this ticket is being resolved and linked as a duplicate.
That ticket has already been resolved as working as intended, which means this is not considered a bug and won't be fixed. Please do not leave a comment on the linked ticket.
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Used items should be granted the same rights as new ones