Using the API https://developers.vtex.com/vtex-rest-api/reference/catalog-api-trade-policy to insert/delete a Trade Policy to a product or the API do not generate a reindexing request.

Insert a trade policy to a product using the API, the product will not be reindexed.

Use any kind of action that saves the product (by API or interface) after adding/deleting the Trade Policy to the product will reindex the product and update the new trade policy information.