[Backport 2.x] Expose method to register search strategy routes in query enhancement

[amsiglan]

Description

Backport #8245 to 2.x

Check List

• All tests pass
  • yarn test:jest
  • yarn test:jest_integration
• New functionality includes testing.
• New functionality has been documented.
• Update CHANGELOG.md
• Commits are signed per the DCO using --signoff

[github-actions]

❌ Invalid Changelog Heading

The '## Changelog' heading in your PR description is either missing or malformed. Please make sure that your PR description includes a '## Changelog' heading with proper spelling, capitalization, spacing, and Markdown syntax.

[codecov]

Codecov Report

All modified and coverable lines are covered by tests ✅

Project coverage is 64.17%. Comparing base (af4529d) to head (dbd402b).
Report is 2 commits behind head on 2.x.

Additional details and impacted files

@@           Coverage Diff           @@
##              2.x    #8282   +/-   ##
=======================================
  Coverage   64.17%   64.17%           
=======================================
  Files        3739     3739           
  Lines       88665    88665           
  Branches    13812    13812           
=======================================
  Hits        56901    56901           
  Misses      31152    31152           
  Partials      612      612           

Flag	Coverage Δ
Linux_1	30.05% <ø> (ø)
Linux_2	58.97% <ø> (ø)
Linux_3	40.40% <ø> (ø)
Linux_4	31.56% <ø> (ø)
Windows_1	30.06% <ø> (ø)
Windows_2	58.92% <ø> (ø)
Windows_3	40.40% <ø> (ø)
Windows_4	31.56% <ø> (ø)

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