How to display overlay or propertize text on file: link type about the file?

[stardiviner]

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I have a requirement, I want to display file: link's file type info on the link.

For example, an Org file: link

#+begin_src org
[[file:~/Org/logo.png][logo]]
[[file:~/Org/document.pdf][document]]
[[file:~/Org/book.epub][book]]
#+end_src

I want to display link as:

#+begin_src org
logo (image: png)
document (document: pdf)
book (ebook: epub)
#+end_src

I'm inspired by this code snippet:

#+begin_src emacs-lisp
(org-link-set-parameters
 "file+sys"
 :complete 'org-file-complete-link
 :face (lambda (path) (if (file-exists-p path) 'org-link 'org-warning)))
#+end_src

Is it possible to display those info between parentheses with an overlay or
propertied text?

If someone have any idea or how to implement this, please help me. Thanks in 
advanced.

- -- 
[ stardiviner ]
       I try to make every word tell the meaning what I want to express.

       Blog: https://stardiviner.github.io/
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