kokoro: Use streamlined image for check_style

The image has python3, clang-format, and gofmt, and over 10 GB
smaller than the general C++ builder image.

Bug: 397439901
Change-Id: I6392c984a367605d44c44f362921999c5e92ac90
Reviewed-on: https://swiftshader-review.googlesource.com/c/SwiftShader/+/75029
Commit-Queue: Shahbaz Youssefi <syoussefi@google.com>
Reviewed-by: Shahbaz Youssefi <syoussefi@google.com>
Tested-by: Shahbaz Youssefi <syoussefi@google.com>
Kokoro-Result: kokoro <noreply+kokoro@google.com>

tests/kokoro/gcp_ubuntu/check_style-docker.sh

diff --git a/tests/kokoro/gcp_ubuntu/check_style-docker.sh b/tests/kokoro/gcp_ubuntu/check_style-docker.sh
index d7e871d..983485b 100755
--- a/tests/kokoro/gcp_ubuntu/check_style-docker.sh
+++ b/tests/kokoro/gcp_ubuntu/check_style-docker.sh
@@ -4,12 +4,9 @@
 
 set -e # Fail on first failure
 
-. /bin/using.sh
-
-set -x # Display commands being run.
-
-using clang-13.0.1
-using go-1.23.4
+# The Docker image should have set these.
+[ -x $CLANG_FORMAT ]
+[ -x $GOFMT ]
 
 # Run presubmit tests
 cd "$SCRIPT_DIR/../../.."

tests/kokoro/gcp_ubuntu/check_style.sh

diff --git a/tests/kokoro/gcp_ubuntu/check_style.sh b/tests/kokoro/gcp_ubuntu/check_style.sh
index c16df08..e8180d4 100755
--- a/tests/kokoro/gcp_ubuntu/check_style.sh
+++ b/tests/kokoro/gcp_ubuntu/check_style.sh
@@ -23,4 +23,4 @@
   --volume "${ROOT_DIR}:${ROOT_DIR}" \
   --workdir "${ROOT_DIR}" \
   --entrypoint "${SCRIPT_DIR}/check_style-docker.sh" \
-  "gcr.io/shaderc-build/radial-build:latest"
+  us-east4-docker.pkg.dev/shaderc-build/radial-docker/ubuntu-24.04-amd64/formatter