Do the advantages outweigh the disadvantages or the disadvantages outweigh the advantages when applying for patents for ancestral secret recipes?

The disadvantages outweigh the advantages. The secret recipe must be made public when applying for a patent, and anyone can see it. There is no secret recipe. Although you have a patent right, it is difficult to completely avoid being stolen. Most importantly, a patent is valid and cannot be renewed after its expiration. That is, the secret recipe becomes well-known public information, and anyone can use it without infringement or payment. Usually, the formula of the product is protected as a trade secret and no patent is applied. For example, the formula of Coca-Cola has not been patented.

Please accept it, thank you!