[Innovator] Migrate deprecated functions in WP_Customize_Setting class

[github-actions]

The WP_Customize_Setting class contains two deprecated function calls that need to be migrated to prevent potential issues and improve code quality. Addressing these will enhance maintainability and reduce technical debt.

Task

1. Identify the usages of the deprecated update() method in src/wp-includes/class-wp-customize-setting.php at lines 722 and 732.
2. Replace the deprecated calls with the recommended alternatives, ensuring that the functionality remains intact.
3. Run existing tests to verify that the changes do not introduce any regressions.

Scope

Do not change any other parts of the WP_Customize_Setting class or related classes.

[github-actions]

Auto-closing: issue has been in progress for 13h (threshold: 6 hours).