Fix typos and grammar errors in documentation

[huzaifaalmesbah]

Description

This PR fixes several typos, grammar errors, and outdated file paths found in the documentation.

Changes

• api/guides/documentation.md: Fixed duplicate word "in" in test description
• api/reference/search_algorithm.md:
  • Fixed typo: "longevitiy" → "longevity"
  • Fixed grammar: "it's stemmed" → "its stemmed" (possessive vs contraction)
• catalog/guides/adding_a_new_provider.md: Fixed grammar: "Generates the named of" → "Generates the name of"
• frontend/guides/analytics.md: Updated file path from frontend/src/types/analyticts.ts to frontend/shared/types/analytics.ts (fixed typo in filename and corrected path)

Testing

• Reviewed all changed lines for accuracy
• Verified links still work correctly
• Checked file paths match actual repository structure

Checklist

• The changes are limited to documentation
• All corrections improve clarity and accuracy
• No functional changes to code