[Feature Request]: Add posthog metrics to searchbar

[Frooodle]

Feature Description

Some analytics to track Popular searches and searches without search results

Hence log search query and search result count

Dont log each user key input but has some method to ensure user finished their search before an event is logged of the search itself Must not spam servers

Why is this feature valuable?

No response

Suggested Implementation

No response

Additional Information

No response

No Duplicate of the Feature

• [x] I have verified that there are no existing features requests similar to my request.