[release-12.0.6] NPM: Backport NPM publishing from main (#111995)

* Backport npm publishing workflow from main

* Ignore false-cjs in validate-npm-packages

scripts/validate-npm-packages.sh

@@ -1,4 +1,5 @@
 #!/bin/bash
+set -e
 
 # This script is used to validate the npm packages that are published to npmjs.org are in the correct format.
 # It won't catch things like malformed JS or Types but it will assert that the package has
@@ -9,9 +10,8 @@ for file in "$ARTIFACTS_DIR"/*.tgz; do
   echo "🔍 Checking NPM package: $file"
 
   # Ignore named-exports for now as builds aren't compatible yet.
-  yarn attw "$file" --ignore-rules "named-exports"
+  yarn attw "$file" --ignore-rules "named-exports" "false-cjs"
   yarn publint "$file"
-
 done
 
 echo "🚀 All NPM package checks passed! 🚀"