recovery: Refactor logging code into logging.cpp

Move common logging related functions to
rotate_logs.cpp, and rename that to logging.cpp.

Test: Recovery works
Bug: 78793464
Change-Id: I00f20a79a296680122b8437d54a87897c5cb2fc7
(cherry picked from commit 3c3f211d1e5698da6eea9e83584acb2dee4ca46e)
diff --git a/recovery-persist.cpp b/recovery-persist.cpp
index dbce7ff..d3ade62 100644
--- a/recovery-persist.cpp
+++ b/recovery-persist.cpp
@@ -41,7 +41,7 @@
 #include <android-base/logging.h>
 #include <private/android_logger.h> /* private pmsg functions */
 
-#include "rotate_logs.h"
+#include "logging.h"
 
 static const char *LAST_LOG_FILE = "/data/misc/recovery/last_log";
 static const char *LAST_PMSG_FILE = "/sys/fs/pstore/pmsg-ramoops-0";