Utilize new archival options

Only archive when failing, rather than always.

Use the standard archive function for the dotnet-ci tools.

This was only previously necessary on Mac / Linux because of our Mono installation process.  This is no longer done now that we are on CoreClr.

Fixes #8553

Move the trigger phrase generation code into a separate function.  This simplified the code
for adding a standard job.

Don't archive our nuget zip.  It's enormous and vastly decreases the number of artifacts we can store.

This reverts commit 936104f0.