Is there a way to make generated enum implement a custom interface in Protobuf v3?

Question

I would like to have the generated enum in Proto3 implement a custom pre-existing interface, as follows:

public enum GeneratedProtoEnum
      implements CustomInterface, com.google.protobuf.ProtocolMessageEnum {

    // ...
}

(by default, enum implements only com.google.protobuf.ProtocolMessageEnum).

For messages, the similar functionality can be achieved with the message_implements: insertion point.

But there is no such alternative for enum-s.

Is there a conventional way to achieve this in Protobuf? Or, possibly, a non-conventional way?