Fix integration tests being accidentally excluded (#10807)

The change from #10769 accidentally switched Integration tests
into far-longer run unit tests (we effectively run the tests
twice and did not run integration tests.

This fixes the problem by removing readonly status from
INTEGRATIONS and only setting it after the integrations are
set.

scripts/ci/libraries/_initialization.sh

@@ -545,8 +545,6 @@ function initialization::make_constants_read_only() {
     readonly HOST_HOME
     readonly HOST_OS
 
-    readonly INTEGRATIONS
-
     readonly ENABLE_KIND_CLUSTER
     readonly KUBERNETES_MODE
     readonly KUBERNETES_VERSION

scripts/ci/testing/ci_run_airflow_testing.sh

@@ -17,6 +17,9 @@
 # under the License.
 # shellcheck source=scripts/ci/libraries/_script_init.sh
 
+
+. "$( dirname "${BASH_SOURCE[0]}" )/../libraries/_script_init.sh"
+
 INTEGRATIONS=()
 
 ENABLED_INTEGRATIONS=${ENABLED_INTEGRATIONS:=""}
@@ -39,8 +42,7 @@ do
     INTEGRATIONS+=("${SCRIPTS_CI_DIR}/docker-compose/integration-${_INT}.yml")
 done
 
-
+readonly INTEGRATIONS
-. "$( dirname "${BASH_SOURCE[0]}" )/../libraries/_script_init.sh"
 
 if [[ -f ${BUILD_CACHE_DIR}/.skip_tests ]]; then
     echo