Update search SystemCheck to latest versions

What does this MR do and why?

Renames ElasticsearchCheck to SearchCheck and include latest compatible versions of OpenSearch and Elasticsearch with GitLab v15.

This MR relates to !79949 (merged) and should be included with the same v15 release.

Screenshots or screen recordings

❯ bundle exec rake gitlab:app:check
Checking GitLab App ...

Database config exists? ... yes
All migrations up? ... yes
Database contains orphaned GroupMembers? ... no
GitLab config exists? ... yes
GitLab config up to date? ... yes
Log directory writable? ... yes
Tmp directory writable? ... yes
Uploads directory exists? ... yes

...

Elasticsearch version 7.x-8.x or OpenSearch version 1.x ... yes (elasticsearch 7.16.1)

Checking GitLab App ... Finished

How to set up and validate locally

Run the following rake task:

bundle exec rake gitlab:app:check

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.