Fix style around header inclusion

This change is to be in sync with other libraries in system/core.

External headers are included via #include <...> rather
than #include "...", which is for headers from the current library.

Bug: 130388701
Test: build & pass presubmit tests

Change-Id: Ifb87ebaea1b0ff95e2e79352e6a42e3bfd949c52
diff --git a/libnativeloader/public_libraries.cpp b/libnativeloader/public_libraries.cpp
index 64fedae..c205eb1 100644
--- a/libnativeloader/public_libraries.cpp
+++ b/libnativeloader/public_libraries.cpp
@@ -14,19 +14,21 @@
  * limitations under the License.
  */
 
-#include "public_libraries.h"
 #define LOG_TAG "nativeloader"
 
+#include "public_libraries.h"
+
 #include <dirent.h>
 
 #include <algorithm>
 #include <memory>
 
-#include "android-base/file.h"
-#include "android-base/logging.h"
-#include "android-base/properties.h"
-#include "android-base/strings.h"
-#include "log/log.h"
+#include <android-base/file.h>
+#include <android-base/logging.h>
+#include <android-base/properties.h>
+#include <android-base/strings.h>
+#include <log/log.h>
+
 #include "utils.h"
 
 namespace android::nativeloader {