Use relative URL for projects to avoid storing domains

app/views/layouts/nav/projects_dropdown/_show.html.haml

-- project_meta = { id: @project.id, name: @project.name, namespace: @project.name_with_namespace, web_url: @project.web_url, avatar_url: @project.avatar_url } if @project&.persisted?
+- project_meta = { id: @project.id, name: @project.name, namespace: @project.name_with_namespace, web_url: project_path(@project), avatar_url: @project.avatar_url } if @project&.persisted?
 .projects-dropdown-container
   .project-dropdown-sidebar
     %ul

changelogs/unreleased/40895-fix-frequent-projects-stale-path.yml

+---
+title: Use relative URL for projects to avoid storing domains
+merge_request: 15876
+author:
+type: fixed