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What is an Office deployment tool?
What is LTSC office?
Which Office is free?
Why use the Office Deployment Tool ( https://config.office.com/officeSettings/ ) to rollout Microsoft 365 Apps via Intune on new laptops that come pre-loaded with the Microsoft 365 Apps pre-installed?
Any advantages? Should it be done this way? If the user logs in with their work account, the applications become licensed either way, so what is the difference?
I do not think your needs could be achieved.
As Office ProPlus 2016 belongs to Office with MSI technology, but ODT (Office Deployment Tool) is apply to Office with C2R technology, such as Microsoft 365, Office 2019, the retail versions of Office 2013 and Office 2016.
There is no Product ID for Office ProPlus 2016 in "List of Product IDs which are supported by the Office Deployment Tool for Click-to-Run".
To deploy volume licensed Office 2016 and 2013, we could use OCT (Office Customization Tool) to customize MSI-based Office.
More detailed information, please checkout "Customize installations of Office 2013".
The Office Deployment Tool treats any product ID without a version specifier as Office 2016, so ID="ProPlusVolume" should be what you want, although I haven't tested it.