[Feature]: implement automation/lint checks when moving unstable to stable

[Hotell]

Library

React Components / v9 (@fluentui/react-components)

Describe the feature that you would like added

Propagating package from unstable to stable is manual work which is error prone.

Task needed when propagating to stable:

• move of export tokens from unstable to index barrel file
• update of package.json settings
  • fix: Update package template beachball config to allow only 'prerelease' changes by default #24763
• update of Readme.md
  • fix(react-component): Remove unstable notice from stable components' readmes #25236
• public docsite stories title
  • https://github.com/microsoft/fluentui/pull/26183/files/f270d8ca4b0afaf4f1fdbd9470dd13270f8e83bd#r1062840224

Goal

Implement automation for described manual tasks (via nx generator/eslint)

Tasks

• TBA

Have you discussed this feature with our team

No response

Additional context

No response

Validations

• Check that there isn't already an issue that request the same feature to avoid creating a duplicate.

[msft-fluent-ui-bot]

Because this issue has not had activity for over 180 days, we're automatically closing it for house-keeping purposes.

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