Backport of run integration tests on push in main and release/* into release/1.18.x (#21668)

run integration tests on push in main and release/* (#21666)

* run integration tests on push in main and release/*

* Update .github/workflows/test-integrations.yml



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Co-authored-by: Michael Zalimeni <michael.zalimeni@hashicorp.com>

.github/workflows/test-integrations.yml

@@ -13,6 +13,11 @@ on:
       - 'backport/docs/**'
       - 'backport/ui/**'
       - 'backport/mktg-**'
+  push:
+    branches:
+      # Push events on the main branch
+      - main
+      - release/**
 
 env:
   TEST_RESULTS_DIR: /tmp/test-results