lib: migrate includes to <zephyr/...>

In order to bring consistency in-tree, migrate all lib code to the new
prefix <zephyr/...>. Note that the conversion has been scripted, refer
to zephyrproject-rtos#45388 for more details.

Signed-off-by: Gerard Marull-Paretas <gerard.marull@nordicsemi.no>
diff --git a/lib/libc/arcmwdt/libc-hooks.c b/lib/libc/arcmwdt/libc-hooks.c
index bfa5284..1ffb607 100644
--- a/lib/libc/arcmwdt/libc-hooks.c
+++ b/lib/libc/arcmwdt/libc-hooks.c
@@ -6,10 +6,10 @@
  */
 
 #include <stdio.h>
-#include <sys/libc-hooks.h>
-#include <syscall_handler.h>
+#include <zephyr/sys/libc-hooks.h>
+#include <zephyr/syscall_handler.h>
 #include <string.h>
-#include <sys/errno_private.h>
+#include <zephyr/sys/errno_private.h>
 #include <unistd.h>
 #include <errno.h>