如何序列化一个用Jackson扩展TreeSet的类？

<dependency>
    <groupId>com.fasterxml.jackson.core</groupId>
    <artifactId>jackson-databind</artifactId>
    <version>2.12.5</version>
</dependency>

@JsonSerialize(using = CustomTreeSetSerializer.class)
@JsonDeserialize(using = CustomTreeSetDeserializer.class)
public class CustomTreeSet<T> extends TreeSet<T> implements Serializable {
    // 类的实现代码
}

public class CustomTreeSetSerializer extends JsonSerializer<CustomTreeSet<?>> {
    @Override
    public void serialize(CustomTreeSet<?> customTreeSet, JsonGenerator jsonGenerator, SerializerProvider serializerProvider) throws IOException {
        // 将customTreeSet转换为JSON字符串的逻辑
    }
}

public class CustomTreeSetDeserializer extends JsonDeserializer<CustomTreeSet<?>> {
    @Override
    public CustomTreeSet<?> deserialize(JsonParser jsonParser, DeserializationContext deserializationContext) throws IOException {
        // 将JSON字符串转换为customTreeSet的逻辑
    }
}

CustomTreeSet<String> customTreeSet = new CustomTreeSet<>();
// 添加元素到customTreeSet

ObjectMapper objectMapper = new ObjectMapper();
String jsonString = objectMapper.writeValueAsString(customTreeSet);