Tech Eval: Set path variable at cookie level to avoid leaking restricted and private projects/subgroups pages under the same top level group
Problem
While fixing the GitLab Pages without DNS wildcard - MVC (gitlab#17584 - closed), we are reintroducing the issue that was fixed by Unique pages site domain (&9347 - closed)
For more information: https://gitlab.com/gitlab-org/gitlab/-/issues/363329+
Proposed Solution
Evaluate if we can utilise path variable at cookie level, to avoid leaking restricted and private projects/subgroups pages under the same top level group.
Cookie path documentation: https://developer.mozilla.org/en-US/docs/Web/HTTP/Headers/Set-Cookie#pathpath-value