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
Merged-In: I00f20a79a296680122b8437d54a87897c5cb2fc7
Change-Id: I00f20a79a296680122b8437d54a87897c5cb2fc7
diff --git a/Android.mk b/Android.mk
index abe1b83..afbc950 100644
--- a/Android.mk
+++ b/Android.mk
@@ -126,10 +126,10 @@
     adb_install.cpp \
     device.cpp \
     fuse_sdcard_provider.cpp \
+    logging.cpp \
     recovery.cpp \
     recovery_main.cpp \
     roots.cpp \
-    rotate_logs.cpp \
 
 LOCAL_MODULE := recovery