Update copying API header files (#19736)

### Description
Make Linux logic consistent as Windows


### Motivation and Context
onnxruntime_lite_custom_op.h in Windows zip package but not in Linux zip
package

https://github.com/microsoft/onnxruntime/blob/acbfc29f272b5578145e7600bc42342e116ffbc2/tools/ci_build/github/azure-pipelines/templates/c-api-artifacts-package-and-publish-steps-windows.yml#L67

Co-authored-by: Your Name <[email protected]>

Author: mszhanyi

tools/ci_build/github/linux/copy_strip_binary.sh

@@ -44,17 +44,10 @@ elif [[ $LIB_NAME == *.so.* ]]
 then
     ln -s $LIB_NAME $BINARY_DIR/$ARTIFACT_NAME/lib/libonnxruntime.so
 fi
-cp $SOURCE_DIR/include/onnxruntime/core/session/onnxruntime_c_api.h  $BINARY_DIR/$ARTIFACT_NAME/include
-cp $SOURCE_DIR/include/onnxruntime/core/session/onnxruntime_cxx_api.h  $BINARY_DIR/$ARTIFACT_NAME/include
-cp $SOURCE_DIR/include/onnxruntime/core/session/onnxruntime_cxx_inline.h  $BINARY_DIR/$ARTIFACT_NAME/include
-cp $SOURCE_DIR/include/onnxruntime/core/session/onnxruntime_float16.h  $BINARY_DIR/$ARTIFACT_NAME/include
-cp $SOURCE_DIR/include/onnxruntime/core/providers/cpu/cpu_provider_factory.h  $BINARY_DIR/$ARTIFACT_NAME/include
-cp $SOURCE_DIR/include/onnxruntime/core/session/onnxruntime_session_options_config_keys.h  $BINARY_DIR/$ARTIFACT_NAME/include
-cp $SOURCE_DIR/include/onnxruntime/core/session/onnxruntime_run_options_config_keys.h  $BINARY_DIR/$ARTIFACT_NAME/include
+cp $SOURCE_DIR/include/onnxruntime/core/session/onnxruntime_*.h $BINARY_DIR/$ARTIFACT_NAME/include
 cp $SOURCE_DIR/include/onnxruntime/core/framework/provider_options.h  $BINARY_DIR/$ARTIFACT_NAME/include
-cp $SOURCE_DIR/orttraining/orttraining/training_api/include/onnxruntime_training_c_api.h  $BINARY_DIR/$ARTIFACT_NAME/include
-cp $SOURCE_DIR/orttraining/orttraining/training_api/include/onnxruntime_training_cxx_api.h  $BINARY_DIR/$ARTIFACT_NAME/include
-cp $SOURCE_DIR/orttraining/orttraining/training_api/include/onnxruntime_training_cxx_inline.h  $BINARY_DIR/$ARTIFACT_NAME/include
+cp $SOURCE_DIR/include/onnxruntime/core/providers/cpu/cpu_provider_factory.h  $BINARY_DIR/$ARTIFACT_NAME/include
+cp $SOURCE_DIR/orttraining/orttraining/training_api/include/onnxruntime_training_*.h  $BINARY_DIR/$ARTIFACT_NAME/include
 
 if [[ -f "$BINARY_DIR/$BUILD_CONFIG/libonnxruntime_providers_cuda.so" ]]; then
 # copy headers for context context used in custom ops