docs: New experimental UI for Mendable Search (#6558)

This PR introduces a new Mendable UI tailored to a better search
experience.

We're more closely integrating our traditional search with our AI
generation.
With this change, you won't have to tab back and forth between the
mendable bot and the keyword search. Both types of search are handled in
the same bar. This should make the docs easier to navigate. while still
letting users get code generations or AI-summarized answers if they so
wish. Also, it should reduce the cost.

Would love to hear your feedback :)

Cc: @dev2049 @hwchase17

docs/docs_skeleton/package.json

@@ -23,7 +23,7 @@
     "@docusaurus/preset-classic": "2.4.0",
     "@docusaurus/remark-plugin-npm2yarn": "^2.4.0",
     "@mdx-js/react": "^1.6.22",
-    "@mendable/search": "^0.0.102",
+    "@mendable/search": "^0.0.112-beta.7",
     "clsx": "^1.2.1",
     "json-loader": "^0.5.7",
     "process": "^0.11.10",

docs/package-lock.json

@@ -0,0 +1,6 @@
+{
+  "name": "docs",
+  "lockfileVersion": 3,
+  "requires": true,
+  "packages": {}
+}