Make search timeout message more suggestive
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### Summary
While working on the support ticket [#374416(Internal only)](https://gitlab.zendesk.com/agent/tickets/374416) the customer suggested the message returned when searches time out should give a better explanation and way forward.
### Screenshots

The aim of this issue is to bring together the customer and GitLab colleagues to see if the wording can be improved while not overcomplicating it.
@stavros-relex - Can you share with us any proposal you might have? We recently adjusted the wording in https://gitlab.com/gitlab-org/gitlab/-/merge_requests/109172.
Cc: @aqualls , @kerrizor since you recently worked on this.
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