Remove vars and steps that shouldn't be necessary

[mmitche]

To double check:

• The right tests are in and and the right validation has happened. Guidance: https://github.com/dotnet/arcade/tree/main/Documentation/Validation

[mmitche]

Got curious about this when i saw some variable groups needing authorization in an emsdk build. Testing here: https://dev.azure.com/dnceng/internal/_build/results?buildId=2041566&view=results

[mmitche]

/azp run

[azure-pipelines]

Azure Pipelines successfully started running 1 pipeline(s).

[mmitche]

/azp run

[azure-pipelines]

Azure Pipelines successfully started running 1 pipeline(s).

[michellemcdaniel]

Are these all just remnants of moving to publishing in the publishing pipeline and that's why they aren't necessary anymore?

[mmitche]

Are these all just remnants of moving to publishing in the publishing pipeline and that's why they aren't necessary anymore?

Combination of that and moving publishing to no longer target dotnetcli/dotnetclimsrc