Add analytics instrumentation for allow-listed integrations

Everyone can contribute. Help move this issue forward while earning points, leveling up and collecting rewards.

• Work on this issue
• Close this issue

About

This issue is part of Ability to disable integrations through admin s... (&15666) see that epic for more context.

Proposal

Add analytics instrumentation to the feature to provide data of the allow_all_integrations application setting.

See #502500 (comment 2199694728) for an example of how to do this.