A coat of paint is a common phrase used to describe a fresh layer of paint applied to a surface. However, if you are looking to express this idea in a more creative way, there are several synonyms you can use. For instance, you can use words like "paint layer," "painting," "coating," "covering," "finish," "enamel," or "varnish." These words will not only enhance your writing, but they will also make it sound more sophisticated and engaging. So next time you want to describe a fresh layer of paint, consider using one of these synonyms to make your writing more intriguing.