feat: Rerouting a booking with corrected responses

[hariombalhara]

What does this PR do?

Fixes CAL-4498

Loom Demo - With new UI Changes
Old Loom Demo - Not updated with UI/UX changes but should work

Mandatory Tasks (DO NOT REMOVE)

• I have self-reviewed the code (A decent size PR without self-review might be rejected).
• N/A I have updated the developer docs in /docs if this PR makes changes that would require a documentation change. If N/A, write N/A here and check the checkbox.
• I confirm automated tests are in place that prove my fix is effective or that my feature works.

How should this be tested?

See Loom

Review Ask

While reviewing please make sure to specifically review that it doesn't break any existing behaviour

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2 Skipped Deployments

Name	Status	Preview	Comments	Updated (UTC)
cal	⬜️ Ignored (Inspect)	Visit Preview		Oct 18, 2024 8:41pm
calcom-web-canary	⬜️ Ignored (Inspect)	Visit Preview		Oct 18, 2024 8:41pm

[github-actions]

Hey there and thank you for opening this pull request! 👋🏼

We require pull request titles to follow the Conventional Commits specification and it looks like your proposed title needs to be adjusted.

Details:

No release type found in pull request title "POC working with no TS error". Add a prefix to indicate what kind of release this pull request corresponds to. For reference, see https://www.conventionalcommits.org/

Available types:
 - feat: A new feature
 - fix: A bug fix
 - docs: Documentation only changes
 - style: Changes that do not affect the meaning of the code (white-space, formatting, missing semi-colons, etc)
 - refactor: A code change that neither fixes a bug nor adds a feature
 - perf: A code change that improves performance
 - test: Adding missing tests or correcting existing tests
 - build: Changes that affect the build system or external dependencies (example scopes: gulp, broccoli, npm)
 - ci: Changes to our CI configuration files and scripts (example scopes: Travis, Circle, BrowserStack, SauceLabs)
 - chore: Other changes that don't modify src or test files
 - revert: Reverts a previous commit

[github-actions]

E2E results are ready!

• Workflow #35179.1 latest results

[Udit-takkar]

@hariombalhara rest of the code looks fine. Just some missing translation which can be fixed later.

[hariombalhara]

Thank you @Udit-takkar !! Let's merge it then. Have pushed some of @CarinaWolli's suggestions as well.

[hariombalhara]

Icon test is consistent failure !!

[zomars]

Icon test is consistent failure !!

The icons snapshot needs to be updated due to new icons added.

[zomars]

Posting here as well for visibility.

How to update the icons snapshot:

1. Go to the tests results
   
2. Find the failing icon test
   
3. Scroll to bottom and download the icons-expected.png file
   
4. Rename it replacing the one in: playwright/icons.e2e.ts-snapshots/icons--calcom-web-linux.png
5. Commit it and push it