I think the canonical name is MS Copilot for Copilot.
As far as I can tell it's actually Office 365 Copilot for Windows 11 with Copilot, for Copilot+ PCs.
Microsfot Office 365 Copilot for Microsoft Windows 11 with Microsoft Copilot, for Microsfot Copilot+ PCs brought to you by Microsoft Office 365 Copilot for Microsfot Windows 11 with Microsfot Copilot, for Microsfot Copilot+ PCs.
Did you know MS Copilot can now be driven by Github Copilot Harness?