Yesterday, September 1, 2021, Microsoft announced its general availability Windows Server 2022. The first release was already in August 2022. Currently we don't know if Windows Server Essentials 2022 will still 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. Redmond had made the product available without any special announcement and those interested could download a trial version version.
The product was released on August 18, 2021, and Windows Server 2022 is an LTSC release with basic support until October 13, 2026. Support extension 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.