Multi-RID packages should strip all package types except `DotnetToolRidPackage` from the 'inner' packages

[baronfel]

Is your feature request related to a problem? Please describe.

If we don't do this, the inner packages show up on queries that look for other package types like McpServer - this leads to end user confusion when they see both the outer and inner packages on search-based experiences.

Describe the solution you'd like

We should strip all PackageTypes except DotnetToolRidPackage from the inner packages.