fix: Send spellchecked query to Backroom

[alvarodE]

Motivation and context

When available the spellchecked query must be sent to Backroom instead of the written one so tooling can be properly applied to the displayed results.

Type of change

• Bug fix (non-breaking change that fixes an issue)
• New feature (non-breaking change that adds functionality)
• Breaking change (fix or feature that causes existing functionality to not work as expected)
• Change requires a documentation update

What is the destination branch of this PR?

• Main

Checklist:

• My code follows the style guidelines of this project.
• [xx] I have performed a self-review on my own code.
• I have commented my code, particularly in hard-to-understand areas.
• I have made corresponding changes to the documentation.
• My changes generate no new warnings.
• I have added tests that prove my fix is effective or that my feature works.
• New and existing unit tests pass locally with my changes.

[github-actions]

Check PR 491 preview 👀

https://x.test.empathy.co/preview/491/index.html

[github-actions]

Check PR 491 preview 👀

https://x.test.empathy.co/preview/491/index.html