Display visibility icon in sidebar or breadcrumbs

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Description

Our UI doesn't make it super clear when you are in a public or in a private project. There is only a small icon on the project front-page.

Proposal

With the new navigation, we could display the lock also in the left sidebar as in this example (GitLab 9.5 to ~ 12?):

GitLab 13.6 (as of 2020-11):

Links / references

Documentation blurb

Overview

Use cases

Who is this for? Provide one or more use cases.

Feature checklist

Make sure these are completed before closing the issue, with a link to the relevant commit.

• Feature assurance
• Documentation
• Added to features.yml