[sync] Clean up path generation for the local sync database.

components/browser_sync/profile_sync_service.cc

Index: components/browser_sync/profile_sync_service.cc
diff --git a/components/browser_sync/profile_sync_service.cc b/components/browser_sync/profile_sync_service.cc
index 2909868bc33e3addeee8a618ad28c941de3a26e5..9e533af9abe1b403a77f2195fc55da1247b9d2fc 100644
--- a/components/browser_sync/profile_sync_service.cc
+++ b/components/browser_sync/profile_sync_service.cc
@@ -162,6 +162,7 @@ ProfileSyncService::ProfileSyncService(InitParams init_params)
                       std::move(init_params.signin_wrapper),
                       init_params.channel,
                       init_params.base_directory,
+                      init_params.local_sync_backend_folder,
                       init_params.debug_identifier),
       OAuth2TokenService::Consumer("sync"),
       last_auth_error_(AuthError::AuthErrorNone()),
@@ -176,7 +177,6 @@ ProfileSyncService::ProfileSyncService(InitParams init_params)
       engine_initialized_(false),
       sync_disabled_by_admin_(false),
       is_auth_in_progress_(false),
-      local_sync_backend_folder_(init_params.local_sync_backend_folder),
       unrecoverable_error_reason_(ERROR_REASON_UNSET),
       expect_sync_configuration_aborted_(false),
       configure_status_(DataTypeManager::UNKNOWN),