Yesterday, September 1, 2021, Microsoft announced the general availability of Windows Server 2022. The first release had already taken place in August 2022. At this time we do not know if Windows Server Essentials 2022 will continue to exist.
Hyper-V Server doesn't seem to exist anymore autonomous product for Windows Server 2022, as this license is being phased out.
Of course no one seems to know what's going on with Windows Server 2022 right now. We have already mentioned the availability of Windows Server 2022 on August 21, 2021 when Windows Server 2022 LTSC was released. The Redmond had made the product available without any special announcement and those interested could download a trial version.
The product was released on August 18, 2021, and Windows Server 2022 is an LTSC release with basic support until October 13, 2026. H. extension support to end on October 14, 2031. Microsoft announced three versions of Windows Server 2022:
Windows Server 2022 Datacenter
Windows Server 2022 Datacenter: Azure Edition
Windows Server Standard 2022
On September 1, 2022, Bernardo Caldas of Microsoft, Vice President of Core OS and Edge Infrastructure, announced the general availability of Windows Server 2022 on the cloud blog.
The company post says nothing about Windows Server 2022 Essentials.
You can see her Microsoft post.