Port Brave Sync server to Rust

Use SQLite for persistence and generate Rust protobuf bindings at build time.

Add Docker image support for containerized deployment.

Co-Authored-By: codex <[email protected]>

schema/protobuf/sync_pb/get_updates_caller_info.proto

@@ -0,0 +1,27 @@
+// Copyright 2012 The Chromium Authors
+// Use of this source code is governed by a BSD-style license that can be
+// found in the LICENSE file.
+
+// If you change or add any fields in this file, update proto_visitors.h and
+// potentially proto_enum_conversions.{h, cc}.
+
+syntax = "proto2";
+
+option go_package = "./sync_pb";
+
+option java_multiple_files = true;
+option java_package = "org.chromium.components.sync.protocol";
+
+option optimize_for = LITE_RUNTIME;
+
+package sync_pb;
+
+message GetUpdatesCallerInfo {
+  reserved 1;
+  reserved "source";
+
+  // True if notifications were enabled for this GetUpdateMessage.
+  // Note: Ideally this would be moved out of GetUpdatesCallerInfo, so that
+  // GetUpdatesCallerInfo itself can be removed.
+  optional bool notifications_enabled = 2;
+}