Resolve "Follow-up from "Add projectSettingsUpdate mutation""

What does this MR do and why?

Addressed some followups from adding the projedctSettingsUpdate mutation. Changes resolver to use Projects::UpdateService and adds more spec coverage

MR acceptance checklist

Please evaluate this MR against the MR acceptance checklist. It helps you analyze changes to reduce risks in quality, performance, reliability, security, and maintainability.

Screenshots or screen recordings

Screenshots are required for UI changes, and strongly recommended for all other merge requests.

Before	After

How to set up and validate locally

Numbered steps to set up and validate the change are strongly suggested.

Related to #441186 (closed)