Fix Issues With DRT Runtimes and Build Resources

[rladuca]

Related to dotnet/wpf-test#56

This was already fixed in https://dnceng.visualstudio.com/internal/_git/dotnet-wpf-test?version=GBdev%2Froladuca%2Fpublishcleanup.

However, there are other changes there that resulted in issues with test passes. As such, this never made it to master.

We should cherry pick the appropriate changes from here and speed up the DRTs.

Changes Needed:

• https://dnceng.visualstudio.com/internal/_git/dotnet-wpf-test/commit/42a52c998dd62be4475b7054d7dfbd0e6cdd2536?refName=refs%2Fheads%2Fdev%2Froladuca%2Fpublishcleanup
• https://dnceng.visualstudio.com/internal/_git/dotnet-wpf-test/commit/44963a6138aab3c90f406560ff9bc98de556a5fb?refName=refs%2Fheads%2Fdev%2Froladuca%2Fpublishcleanup
• https://dnceng.visualstudio.com/internal/_git/dotnet-wpf-test/commit/8741dd5cb3cc9172a5f3bb583412790df68896bc?refName=refs%2Fheads%2Fdev%2Froladuca%2Fpublishcleanup
• https://dnceng.visualstudio.com/internal/_git/dotnet-wpf-test/commit/4e63efa034da18606c0c7c073c784893e82b3786?refName=refs%2Fheads%2Fdev%2Froladuca%2Fpublishcleanup

[rladuca]

Checked into dotnet-wpf-test: https://dev.azure.com/dnceng/internal/_git/dotnet-wpf-test/pullrequest/2344?_a=overview