Azure.Sdk.Tools.TestProxy_1.0.0-dev.20250605.1

Move Publish-To-Net template out of `azure-sdk-build-tools` (#10802)

* move the net-release-to-feed yml into the azure-sdk-tools repo, along with all scripts except for the build-tools
  create-tag-and-release under archetype-sdk-publish-dotnet.yml
* remove reference to net-release-to-feed.yml from azure-sdk-build-tools repo from archetype-tool-dotnet in favor of
  the newly created archetype-sdk-publish-dotnet

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Co-authored-by: Copilot <175728472+Copilot@users.noreply.github.com>