[Search] Move recordings to assets repo (Azure#27932)

Author: mccoyp

sdk/search/azure-search-documents/assets.json

@@ -0,0 +1,6 @@
+{
+  "AssetsRepo": "Azure/azure-sdk-assets",
+  "AssetsRepoPrefixPath": "python",
+  "TagPrefix": "python/search/azure-search-documents",
+  "Tag": "python/search/azure-search-documents_5b16387c66"
+}