Cannot See Class Library (.NET Core) in Visual Studio 2022 while adding/creating new class library projects

Question

I have .NET Core 6 SDK, Runtime Installed in my System.

Visual Studio Workload Components Installed:

Web & Cloud:

1. ASP.NET Web Development
2. Azure Development

Desktop & Mobile

1. .NET Desktop Environment

Other Toolsets

1. Visual Studio Extension Development
2. Data Storage and Processing

Answer 1

Moving from the comments:

Since the 5th version "Core" part was dropped from the framework name:

.NET 5 is the next major release of .NET Core following 3.1. We named this new release .NET 5 instead of .NET Core 4 for two reasons:

• We skipped version numbers 4.x to avoid confusion with .NET Framework 4.x.
• We dropped "Core" from the name to emphasize that this is the main implementation of .NET going forward. .NET 5 supports more types of apps and more platforms than .NET Core or .NET Framework.

So you can use the ".NET or .NET Standard" option as shown at screenshot in your comment: