How to use the insert/edit image UI from TinyMCE for changing an image attribute?

[Matt E]

I'm making a custom module using ps_imageslider as an example. By default, when choosing the image for a slide, you can only upload a new image like this:

However when adding an image to textarea with TinyMCE, you can use the more advanced insert/edit image tool, like this:

When you click the eye icon next to "Source" it opens this File Manager so you can upload OR choose an existing image file:

How can I replicate this so that when choosing the primary image for the slide like in the first example above, I can decide to use an existing file instead of only uploading a local file?