Temporarily move searchbot tutorial to getting started;

Update code samples with diffs

Author: anbuzin

docs/guides/tutorials/index.rst

@@ -12,7 +12,6 @@ Using EdgeDB with...
     nextjs_pages_router
     rest_apis_with_fastapi
     rest_apis_with_flask
-    fastapi_gelai_searchbot
     jupyter_notebook
     phoenix_github_oauth
     graphql_apis_with_strawberry