Remove azsdk pat usage

[chidozieononiwu]

This is adding back the changes in this PR #46709
Avoid calling /eng/common/pipelines/templates/steps/login-to-github.yml on public run.

[Copilot]

Pull request overview

This PR migrates the Python SDK pipelines off the long-lived azuresdk-github-pat secret toward short-lived GitHub App installation tokens (GH_TOKEN) minted by the shared login-to-github.yml template. It centralizes and standardizes GitHub authentication across CI, live-test, weekly-analysis, release, and docs pipelines, improving security and maintainability.

Changes:

• Replace $(azuresdk-github-pat) with $(GH_TOKEN) for TokenToUseForAuth and GH_TOKEN env vars, adding login-to-github.yml where needed (gated on -pr repos for checkout jobs).
• Pass AuthToken: '' to PR/push/release templates so they auto-login via the GitHub App instead of defaulting to the PAT.
• Remove now-redundant auth config (e.g., explicit TokenOwners) and rely on shared template defaults.

Reviewed changes

Copilot reviewed 11 out of 12 changed files in this pull request and generated no comments.

Show a summary per file

File	Description
scripts/release_helper/release_helper.yml	Adds login-to-github.yml; AZURESDK_BOT_TOKEN now sourced from $(GH_TOKEN).
eng/pipelines/tsp-spec-sync.yml	Passes AuthToken: '' to create-pull-request.yml for auto-login.
eng/pipelines/templates/steps/verify-autorest.yml	Passes AuthToken: '' to create-pull-request.yml.
eng/pipelines/templates/steps/build-package-artifacts.yml	Adds login-to-github.yml for -pr builds; sparse-checkout uses $(GH_TOKEN).
eng/pipelines/templates/stages/python-analyze-weekly.yml	Adds login-to-github.yml; next-* check env vars use $(GH_TOKEN).
eng/pipelines/templates/stages/archetype-python-release.yml	Passes AuthToken: '' to release tag and version-increment PR templates.
eng/pipelines/templates/jobs/live.tests.yml	Adds login-to-github.yml for -pr builds; sparse-checkout uses $(GH_TOKEN).
eng/pipelines/templates/jobs/ci.tests.yml	Adds login-to-github.yml for -pr builds; sparse-checkout uses $(GH_TOKEN).
eng/pipelines/prepare-pipelines.yml	Trailing-newline-only change (no functional impact).
eng/pipelines/docindex.yml	Passes AuthToken: '' to both git-push-changes.yml calls.
eng/pipelines/conda-update-pipeline.yml	Passes AuthToken: '' to create-pull-request.yml.
eng/pipelines/aggregate-reports.yml	Removes explicit TokenOwners, relying on login-to-github.yml defaults.