"Admin Area" button not showing
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### Summary
<!-- Summarize the bug encountered concisely. -->
"Admin Area" button is missing from left side bar.
### Steps to reproduce
On a self-hosted instance, as a user with admin privileges ():
- Sign out
- Sign in
### What is the current *bug* behavior?
The "Admin Area" button is not shown.

The only way to get into the admin area now is by manually adding `/admin` to the URL of your instance. You then get the usual "Re-authentication required" prompt, and only after reauthenticating the "Admin Area" button is shown:

### What is the expected *correct* behavior?
The "Admin Area" button should be shown in the bottom right of the left side bar for users with admin privileges, whether the user is reauthenticated or not.
For users with admin privileges, there should always be a way in the UI to get to the admin area (with reauthentication when needed).
#### Results of GitLab environment info
<!-- Input any relevant GitLab environment information if needed. -->
We are running the official GitLab docker image, and this behaviour is seen in images `gitlab/gitlab-ee:16.7.0-ee.0` and `gitlab/gitlab-ee:16.8.2-ee.0`.
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<summary>Expand for output related to GitLab environment info</summary>
<pre>
System information
System:
Proxy: no
Current User: git
Using RVM: no
Ruby Version: 3.1.4p223
Gem Version: 3.4.22
Bundler Version:2.5.4
Rake Version: 13.0.6
Redis Version: 7.0.15
Sidekiq Version:7.1.6
Go Version: unknown
GitLab information
Version: 16.8.2-ee
Revision: e3c23d67e9c
Directory: /opt/gitlab/embedded/service/gitlab-rails
DB Adapter: PostgreSQL
DB Version: 13.13
URL: http://gitlab.sarc.nl
HTTP Clone URL: http://gitlab.sarc.nl/some-group/some-project.git
SSH Clone URL: git@gitlab.sarc.nl:some-group/some-project.git
Elasticsearch: no
Geo: no
Using LDAP: yes
Using Omniauth: yes
Omniauth Providers:
GitLab Shell
Version: 14.33.0
Repository storages:
- default: unix:/var/opt/gitlab/gitaly/gitaly.socket
GitLab Shell path: /opt/gitlab/embedded/service/gitlab-shell
Gitaly
- default Address: unix:/var/opt/gitlab/gitaly/gitaly.socket
- default Version: 16.8.2
- default Git Version: 2.42.0
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#### Results of GitLab application Check
<!-- Input any relevant GitLab application check information if needed. -->
<details>
<summary>Expand for output related to the GitLab application check</summary>
<pre>
Checking GitLab subtasks ...
Checking GitLab Shell ...
GitLab Shell: ... GitLab Shell version >= 14.33.0 ? ... OK (14.33.0)
Running /opt/gitlab/embedded/service/gitlab-shell/bin/check
Internal API available: OK
Redis available via internal API: OK
gitlab-shell self-check successful
Checking GitLab Shell ... Finished
Checking Gitaly ...
Gitaly: ... default ... OK
Checking Gitaly ... Finished
Checking Sidekiq ...
Sidekiq: ... Running? ... yes
Number of Sidekiq processes (cluster/worker) ... 1/1
Checking Sidekiq ... Finished
Checking Incoming Email ...
Incoming Email: ... Reply by email is disabled in config/gitlab.yml
Checking Incoming Email ... Finished
Checking LDAP ...
LDAP: ... Server: ldapmain
LDAP authentication... Success
LDAP users with access to your GitLab server (only showing the first 100 results)
User output sanitized. Found 15 users of 100 limit.
Checking LDAP ... Finished
Checking GitLab App ...
Database config exists? ... yes
Tables are truncated? ... skipped
All migrations up? ... yes
Database contains orphaned GroupMembers? ... no
GitLab config exists? ... yes
GitLab config up to date? ... yes
Cable config exists? ... yes
Resque config exists? ... yes
Log directory writable? ... yes
Tmp directory writable? ... yes
Uploads directory exists? ... yes
Uploads directory has correct permissions? ... yes
Uploads directory tmp has correct permissions? ... yes
Systemd unit files or init script exist? ... skipped (omnibus-gitlab has neither init script nor systemd units)
Systemd unit files or init script up-to-date? ... skipped (omnibus-gitlab has neither init script nor systemd units)
Projects have namespace: ...
5/1 ... yes
5/2 ... yes
2/3 ... yes
5/4 ... yes
2/5 ... yes
5/6 ... yes
5/7 ... yes
5/8 ... yes
5/9 ... yes
5/11 ... yes
5/12 ... yes
2/13 ... yes
2/14 ... yes
Redis version >= 6.0.0? ... yes
Ruby version >= 3.0.6 ? ... yes (3.1.4)
Git user has default SSH configuration? ... yes
Active users: ... 14
Is authorized keys file accessible? ... yes
GitLab configured to store new projects in hashed storage? ... yes
All projects are in hashed storage? ... yes
Elasticsearch version 7.x-8.x or OpenSearch version 1.x ... skipped (Advanced Search is disabled)
All migrations must be finished before doing a major upgrade ... skipped (Advanced Search is disabled)
Checking GitLab App ... Finished
Checking GitLab subtasks ... Finished
</pre>
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I left a note on https://stackoverflow.com/questions/71943797/can-not-find-admin-button-on-gitlab.
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