chore: update docs and add examples test ci

[ineshbose]

No description provided.

[what-the-diff]

PR Summary

• Continuous Integration Enhancements
  The team has integrated and automated a check for running critical examples in the Continuous Integration (CI) process.

• Improvement in Installation Instructions
  Clarifying installation instructions have been added to guide users through the process more efficiently.

• Configuration Default Updates
  An enhancement has been incorporated in the default configuration, and a new section detailing how to reference the tailwind configuration has also been added.

• Updated Documentation
  Existing documentation files have been renamed and additional documentation has been composed for more examples to aid users in better understanding.

• Dark Mode Initialization Example
  An example detailing the whole process of enabling dark mode feature is now available in the appropriate documentation.

• Module Authoring Guide
  This PR also includes a new document meant to guide developers on how to author a module.

• Nuxt UI Usage Document
  For users who utilize Nuxt UI, an example of its application has been included in the documentation.

• Module Authoring Example
  Lastly, an example of creating a module with @nuxtjs/tailwindcss is also included in the updated documentation for the convenience of developers.

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