Have you tried looking at the embedding instructions included with Tableau Server? I haven't had a chance to check but I believe they are current with Sharepoint 2016. As for web apps, I haven't heard of anything on our end. I know Sharepoint is an important tool for many of our customers so I would go ahead and create an idea in our Ideas section to let our Devs know about the coming change.
"C:\Program Files\Tableau\Tableau Server\9.2\extras\embedding\sharepoint"
If a Web App is not available to you anymore, what about simply embedding using an HTML <iframe> element? I don't know how flexible SharePoint is but if you can write some basic HTML, I'd go with that route. For example:
<iframe src="http://tabserver/views/workbook/sheet?:embed=y" width="800" height="800"></iframe>