Align embedded Media Images When I embed an image into CKEditor text I can choose alignment options. When I embed a Media Image I cannot choose alignment, but a Media View. A media View allows me to specify image size (via image style) but not alignment

Embedding an Image does not add the image to the Media Library and it would be nice to only use Media Image embedding so as to manage the site's media library of images.  

What is the preferred way of specifying the alignment of embedded Media?

Background 

I am switching over to simply using core Media modules in Drupal 8.8. I have ditched what I was previously using:
*  Embed
*  Entity Embed
*  DropzoneJS entity browser widget
*  Entity Browser
*  Entity Browser IEF
The easiest to resolve (and most likely) issue is:

You are limiting the allowed HTML tags for the text format you're using and you haven't allowed the align (and also caption, if you want captions) attributes for the drupal-entity HTML element. (I'm assuming you do have the Align images and Caption images filters enabled because you said those features were working for non-media embeds. If they're not enabled, enable them.)

Solution:

In the "Limit allowed HTML tags and correct faulty HTML" section (/admin/config/content/formats/manage/MY_FORMAT#edit-filters-filter-html-settings), make sure the drupal-entity has at least the data-align (and data-caption for captions) attributes. E.g. &lt;drupal-entity data-align data-caption data-etc...&gt;.