refactor: Move to zephyr/ include paths.

* Zephyr moved to properly namespaced headers, so major "rip
  the bandaid" commit to move us to those everywhere.

app/src/split/bluetooth/peripheral.c

@@ -4,29 +4,29 @@
  * SPDX-License-Identifier: MIT
  */
 
-#include <device.h>
-#include <init.h>
+#include <zephyr/device.h>
+#include <zephyr/init.h>
 
 #include <errno.h>
 #include <math.h>
 #include <stdlib.h>
 #include <stdio.h>
 
-#include <settings/settings.h>
-#include <bluetooth/bluetooth.h>
-#include <bluetooth/conn.h>
-#include <bluetooth/hci.h>
-#include <bluetooth/uuid.h>
-#include <bluetooth/gatt.h>
-#include <bluetooth/hci_err.h>
+#include <zephyr/settings/settings.h>
+#include <zephyr/bluetooth/bluetooth.h>
+#include <zephyr/bluetooth/conn.h>
+#include <zephyr/bluetooth/hci.h>
+#include <zephyr/bluetooth/uuid.h>
+#include <zephyr/bluetooth/gatt.h>
+#include <zephyr/bluetooth/hci_err.h>
 
 #if IS_ENABLED(CONFIG_SETTINGS)
 
-#include <settings/settings.h>
+#include <zephyr/settings/settings.h>
 
 #endif
 
-#include <logging/log.h>
+#include <zephyr/logging/log.h>
 
 LOG_MODULE_DECLARE(zmk, CONFIG_ZMK_LOG_LEVEL);