[Search] Enable CI and live test pipelines on search/stable branch (#28591)

sdk/search/ci.yml

@@ -1,11 +1,12 @@
 # NOTE: Please refer to https://aka.ms/azsdk/engsys/ci-yaml before editing this file.
-                
+
 trigger:
   branches:
     include:
       - main
       - release/*
       - hotfix/*
+      - search/stable
   paths:
     include:
       - sdk/search/
@@ -19,6 +20,7 @@ pr:
       - feature/*
       - release/*
       - hotfix/*
+      - search/stable
     exclude:
       - feature/v4
   paths: