feat(lab): Migrate lab to main repo. (#4521)

* Add directory

* Add lab check script

* Delete duplicated icons

* Fix the lab page

* Adjust paths

* update lockfile

* update lockfile

* fix(lab/planet): replace with guideline-compliant design

* Add install step

* Add second install step

* Adjust lab in site

* try this

* Fix workflow

* Add cspell

* Format code

* Temporary delete icons for copilot review

* Place back lab icons

* Apply suggestions from code review

Co-authored-by: Copilot Autofix powered by AI <175728472+Copilot@users.noreply.github.com>

* Update lock file

* Revert svg changes

* Fix list

* Rename filenames

* Format tsconfig

---------

Co-authored-by: Karsa <contact@karsa.org>
Co-authored-by: Copilot Autofix powered by AI <175728472+Copilot@users.noreply.github.com>

lab/house-manor.svg

@@ -0,0 +1,21 @@
+<svg
+  xmlns="http://www.w3.org/2000/svg"
+  width="24"
+  height="24"
+  viewBox="0 0 24 24"
+  fill="none"
+  stroke="currentColor"
+  stroke-width="2"
+  stroke-linecap="round"
+  stroke-linejoin="round"
+>
+  <path d="M9 6V2H5v4" />
+  <path d="M19 6V2h-4v4" />
+  <rect width="20" height="16" x="2" y="6" rx="2" />
+  <path d="M2 12h4" />
+  <path d="M6 22V12l5.5-6" />
+  <path d="m12.5 6 5.5 6v10" />
+  <path d="M18 12h4" />
+  <path d="M12 11h.01" />
+  <path d="M10 22v-5a2 2 0 1 1 4 0v5" />
+</svg>