Feature/hidden event toggle

[shoaibansari5398]

What does this PR do?

This PR introduces the "Hide from profile" toggle for Managed Event Types in the Advanced settings tab. Previously, this option was available for standard event types but missing for managed ones, making it impossible to hidden managed events from the team profile page.

Fixes #25903

Visual Demo (For contributors especially)

A visual demonstration is strongly recommended, for both the original and new change (video / image - any one).

Mandatory Tasks (DO NOT REMOVE)

I have self-reviewed the code (A decent size PR without self-review might be rejected).
N/A (No documentation changes required).
I confirm automated tests are in place that prove my fix is effective or that my feature works.

How should this be tested?

Login as an Organization Admin or Team Owner.
Go to Event Types and select (or create) a Managed Event Type.
Navigate to the Advanced tab.
Verify that the "Hide from profile" toggle is now visible.
Enable the toggle and save the event type.
Visit the public Team/Organization booking page and confirm the event type is hidden.

Checklist

I have read the contributing guide
My code follows the style guidelines of this project
I have checked if my changes generate no new warnings

[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 "Feature/hidden event toggle". 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

[cubic-dev-ai]

No issues found across 3 files