Remove suffix from resources (#1073)

* Remove suffix from resources
* Fix PR trigger logic

eng/ci/public.yml

@@ -3,20 +3,12 @@ trigger:
   branches:
     include:
     - dev
-    - v4.x/*
-    - v3.x/*
-
-# Run this pipeline on all PRs
-pr:
-  branches:
-    include:
-    - '*'
 
 resources:
   repositories:
     - repository: 1es
       type: git
-      name: 1ESPipelineTemplates/1ESPipelineTemplates@1es
+      name: 1ESPipelineTemplates/1ESPipelineTemplates
       ref: refs/tags/release
 
 extends: