I have it integrated via Integromat, see Add to Inbox via IFTTT - #28 by Schultzter for the gory details.
Well, what I would really want is a menu item, like GMail’s Add to Tasks but instead Add to Dynalist. And synchronization, so when I mark the task done in Dynalist and it will get archived in GMail, and if I put a date on the item in Dynalist it gets snoozed in GMail, and so forth.
For now I use the Dynalist clipper with the email open to add it to my Dynalist Inbox and then I archive it in GMail and muddle around with it in Dynalist.
I don’t know how much of that is possible with the GMail API.