Dynamically Updating Custom Menu of Google Spreadsheet using Google Apps Script
This is a sample script for dynamically updating the custom menu of Google Spreadsheet using Google Apps Script.
Demo
In this demonstration, when the Spreadsheet is opened, 5 functions added to the custom menu. You can see that when a column is added and deleted, the custom menu is updated.
Issue and workaround for this goal
Unfortunately, in the current stage, when a function is added to the custom menu with addItem method, the argument cannot been able to be used. And when one of functions in the custom menu is run, the information about the function name which was run cannot be retrieved. By this, the goal cannot be directly achieved. So it is required to use the workaround.