Google Apps Script Auto Generated Library Documentation

The jsdoc variant suported for libraries in Google Apps Script does not support documentation at the level you are looking for, only first-level functions. There is a relevant open bug report on this, but no response from Google.

You can still write your jsdoc tags, and generate your documentation outside of the Google infrastructure. Take a look at How to preview jsdoc comments in google doc scripts for some pointers on how to preview your jsdoc comments. You could take the output of jsdoc3 and publish it on a site to provide your docs to your community.

Other relevant / possible duplicate posts:

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