Align summarize notes FE access with service

What does this MR do and why?

This aligns the access check for the summarize notes feature with the checks on the service level. It now includes: check for the project instead of the group, check if the issue is allowed to be sent to AI.

Proper fix will be in : !117694 (merged)

Screenshots or screen recordings

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

How to set up and validate locally

See !117327 (merged)

MR acceptance checklist

This checklist encourages us to confirm any changes have been analyzed to reduce risks in quality, performance, reliability, security, and maintainability.

• I have evaluated the MR acceptance checklist for this MR.