Backport of NET-4996 - filter go-tests and test-integration workflows from running on docs only and ui only changes into release/1.16.x (#18244)

backport of commit e0c0efe68242b16533da0726d67a845c6988e07d

Co-authored-by: John Murret <john.murret@hashicorp.com>

.github/workflows/go-tests.yml

@@ -2,14 +2,13 @@ name: go-tests
 
 on:
   pull_request:
-    branches-ignore:
-      - stable-website
+    paths-ignore: 
+      - '.changelog/**'
+      - '.github/ISSUE_TEMPLATE/**'
+      - 'contributing/**'
       - 'docs/**'
       - 'ui/**'
-      - 'mktg-**' # Digital Team Terraform-generated branches' prefix
-      - 'backport/docs/**'
-      - 'backport/ui/**'
-      - 'backport/mktg-**'
+      - 'website/**'
   push:
     branches:
       # Push events on the main branch

.github/workflows/test-integrations.yml

@@ -5,14 +5,13 @@ name: test-integrations
 
 on:
   pull_request:
-    branches-ignore:
-      - stable-website
+    paths-ignore:
+      - '.changelog/**'
+      - '.github/ISSUE_TEMPLATE/**'
+      - 'contributing/**'
       - 'docs/**'
       - 'ui/**'
-      - 'mktg-**' # Digital Team Terraform-generated branch prefix
-      - 'backport/docs/**'
-      - 'backport/ui/**'
-      - 'backport/mktg-**'
+      - 'website/**'
 
 env:
   TEST_RESULTS_DIR: /tmp/test-results