[Web][Docs] Search bar result contetnt on v5 documentation page

• I have searched the issues of this repository and believe that this is not a duplicate.

Summary 💡

• Allow (maybe hard-bind?) abbreviations in search (like btn for button, btn group etc)
• Progressive search outcomes on user input. (when user search wordA wordB, the first result should be the ones from the results from searching only wordA which also contains wordB) See in chapter #Examples.
• Remove some of current content.
• NOTE: The second issue(Progressive search outcomes) was categorized as "hard to achieve" due to the algolia engine in this comment

  This is hard because we don't have control to edit search configuration in algolia

• The issue was initially mentioned here https://github.com/mui-org/material-ui/issues/28415 in this comment
• This issue is to separate different topics.

Examples 🌈

I would like to have some (limited) access to your prototyping tool like https://siriwatknp.github.io/mui-docsearch/ to make it clearer and easier during the communication.

• Current behavior
  

• Expected behavior
  I can only describe with text. When user type typo then want to go to typography - general, to do everything without mouse, user would type gen after typo, then the typography - general chapter shows up as the first result.

Motivation 🔦

Usability: to make search easier