Remove training CIs from external PR CI list.

Don't exit if there's an error starting a CI. It's most likely an intermittent error (or invalid CI) so it's better to keep going so you only have to try and kick off the failed CI later.

tools/python/run_CIs_for_external_pr.py

@@ -34,9 +34,6 @@ def get_pipeline_names():
         "Linux QNN CI Pipeline",
         # mac
         "MacOS CI Pipeline",
-        # training
-        "orttraining-linux-ci-pipeline",
-        "orttraining-linux-gpu-ci-pipeline",
         # checks
         "onnxruntime-binary-size-checks-ci-pipeline",
         # big models
@@ -78,7 +75,8 @@ def run_gh_pr_command(command: list[str], check: bool = True):
     except subprocess.CalledProcessError as cpe:
         print(cpe)
         print(cpe.stderr)
-        sys.exit(-1)
+        # Exit if debugging. Otherwise keep going as it's most likely an intermittent failure.
+        # sys.exit(-1)
 
 
 def main():