chore: ✨ Refactor PermissionsAPI to extend PermissionsCore and improve permission handling

[factman]

✨ Refactor PermissionsAPI to extend PermissionsCore and improve permission handling

Status	Type	Env Vars Change
Ready	Refactor	No

Problem

• PermissionsAPI did not leverage PermissionsCore for shared logic.
• Permission handling was not optimal for extensibility and maintainability.

Solution

• Refactored PermissionsAPI to extend PermissionsCore.
• Improved permission handling logic for better code reuse and clarity.

Test results

Add your screenshots or recording about testing

Other changes

• None

Deploy Notes

There are no new dependencies, scripts, or environment variables introduced with this PR