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/jacket.svg

@@ -0,0 +1,20 @@
+<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="M8 4c0 1.1 1.8 2 4 2s4-.9 4-2V3c0-.6-.4-1-1-1H9c-.6 0-1 .4-1 1Z" />
+  <path d="M8 4c0 2 4 5 4 10v8" />
+  <path d="M12 14c0-5 4-8 4-10" />
+  <path d="M6 19H3c-.6 0-1-.4-1-1V7c0-1.1.8-2.3 1.9-2.6L8 3" />
+  <path d="M18 9v12c0 .6-.4 1-1 1H7c-.6 0-1-.4-1-1V9" />
+  <path d="m16 3 4.1 1.4C21.2 4.7 22 5.9 22 7v11c0 .6-.4 1-1 1h-3" />
+  <path d="m6 15 2-2" />
+  <path d="m18 15-2-2" />
+</svg>