How do I nest app logs in request log and also tag it with an operation id?

When I use Google App Engine, I can:

(A) nest app logs (e.g. the info log below)
(B) see the summary of a request log in the top "collapsed" row
(C) get tags with an operation id that I can click to easily filter the log stream by

Is it possible to accomplish the same thing via the Stackdriver Logging API?

I understand I can achieve (A) via these instructions.

I can achieve (B) by either:

(i) adding the data to the httpRequest
(ii) adding it to jsonPayload and following this Googler's advice to reverse engineer what GAE does.

However, if I choose (i), the operation-id tags (C) no longer appear and if I do the latter, then (A) app log nesting stops working.