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/Android.bp b/Android.bp
index 9ad961d..22c90bd 100644
--- a/Android.bp
+++ b/Android.bp
@@ -89,8 +89,8 @@
     ],
 
     srcs: [
+        "logging.cpp",
         "recovery-persist.cpp",
-        "rotate_logs.cpp",
     ],
 
     shared_libs: [
@@ -98,6 +98,10 @@
         "liblog",
     ],
 
+    static_libs: [
+        "libotautil",
+    ],
+
     init_rc: [
         "recovery-persist.rc",
     ],
@@ -112,8 +116,8 @@
     ],
 
     srcs: [
+        "logging.cpp",
         "recovery-refresh.cpp",
-        "rotate_logs.cpp",
     ],
 
     shared_libs: [
@@ -121,6 +125,10 @@
         "liblog",
     ],
 
+    static_libs: [
+        "libotautil",
+    ],
+
     init_rc: [
         "recovery-refresh.rc",
     ],