Plugin to allow access to local file system from browser

Scenario

I have an browser based local intranet app that is thrusted by users.

I need a file selector dialog, where I can read full local path of the selected file, which violates browser sandbox. Basically, user needs to point to existing file in mapped network drive, instead of uploading local file to server (for legacy reasons)

Users are allowed to install a small plugin or browser extension, install the app as PWA in order to gain additional permissions, accept some additional permission requested by browsers etc.

The only requirement is, that it must work on Windows and Chromium based browsers.

Question

How can I implement a “File Selector” dialog where I can read selected file’s full path?