Like Microsoft 365 F1, F3 is also more apply for desk-less workers which means they do not include Office desktop apps, but F3 has more features than F1. More information of Microsoft 365 F3, please refer to the links below.
Office 365 plan options
Microsoft 365 and Office 365 platform service description
Starting in Summer 2020, commercial customers can use Microsoft 365 Apps for enterprise (device) to assign a Microsoft 365 Apps for enterprise license to a Windows 10 device instead of to a user.
This device-based license is designed to simplify management of Microsoft 365 Apps for enterprise on devices shared by many users. Anyone that signs in and uses that device can use Microsoft 365 Apps for enterprise to create and edit documents.
But this needs to meet some conditions, such as the Windows 10 device must be Azure Active Directory (Azure AD) joined or hybrid Azure AD joined.
More related information, please refer to "Device-based licensing for Microsoft 365 Apps for enterprise".
If you could not meet the specified requirements for device-based license, in my opinion, you need to use shared computer activation for Microsoft 365 on Citrix.
To use shared computer activation, the Microsoft 365 plan needs to include Microsoft 365 Apps, in your case, E3 is OK.
Besides, Microsoft 365 apps with shared computer activation is user-based licensing, users need to log in their own accounts to activate Office.
At last, as we are mainly responsible for general issues of Office desktop applications on Q&A, for issues related to license requirements for Windows 10 and Microsoft 365, I would suggest you contact Microsoft to have a confirmation. Thanks for your understanding.
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