Jackson2. How to get a list of loaded types?

Question

Java

Background: Made simple type typing with Jackson2

TypeResolverBuilder<?> typeBuilder = new ObjectMapper.DefaultTypeResolverBuilder(ObjectMapper.DefaultTyping.JAVA_LANG_OBJECT);
        typeBuilder = typeBuilder.init(JsonTypeInfo.Id.NAME, null);
        typeBuilder = typeBuilder.inclusion(JsonTypeInfo.As.PROPERTY);
        typeBuilder = typeBuilder.typeProperty("@type");

Now all responses contain a class name or a predefined object name.
Task: Display to the user all supported types
Is it possible to get through the Jackson2 API (or its classes in spring-web) the entire list of types that Jackson2 has processed?