Add Store+Sync to reading list.

ios/chrome/browser/reading_list/BUILD.gn

Index: ios/chrome/browser/reading_list/BUILD.gn
diff --git a/ios/chrome/browser/reading_list/BUILD.gn b/ios/chrome/browser/reading_list/BUILD.gn
index 2780b8b53382b2a45ea370841b81e1d011fd30dc..7ec29b104949333bade4c9f176f80ce644a0f938 100644
--- a/ios/chrome/browser/reading_list/BUILD.gn
+++ b/ios/chrome/browser/reading_list/BUILD.gn
@@ -19,9 +19,10 @@ source_set("reading_list") {
     "reading_list_model_impl.cc",
     "reading_list_model_impl.h",
     "reading_list_model_observer.h",
-    "reading_list_model_storage.h",
-    "reading_list_model_storage_defaults.h",
-    "reading_list_model_storage_defaults.mm",
+    "reading_list_pref_names.cc",
+    "reading_list_pref_names.h",
+    "reading_list_store.cc",
+    "reading_list_store.h",
     "url_downloader.cc",
     "url_downloader.h",
   ]
@@ -29,8 +30,14 @@ source_set("reading_list") {
     "//base",
     "//components/keyed_service/core",
     "//components/keyed_service/ios",
+    "//components/leveldb_proto",
+    "//components/pref_registry",
+    "//components/prefs",
+    "//components/sync",
+    "//components/sync/protocol",
     "//ios/chrome/browser:browser_no_public_deps",
     "//ios/chrome/browser/browser_state",
+    "//ios/chrome/browser/reading_list/proto",
     "//ios/web",
     "//net",
     "//url",
@@ -44,7 +51,6 @@ source_set("unit_tests") {
   testonly = true
   sources = [
     "reading_list_entry_unittest.cc",
-    "reading_list_model_storage_unittest.mm",
     "reading_list_model_unittest.cc",
     "url_downloader_unittest.cc",
   ]