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/history_status.proto

@@ -0,0 +1,25 @@
+// Copyright 2016 The Chromium Authors
+// Use of this source code is governed by a BSD-style license that can be
+// found in the LICENSE file.
+
+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 HistoryStatusRequest {}
+
+// Response to a history status request.
+message HistoryStatusResponse {
+  // Minimal time to wait before issuing another request.
+  optional int32 min_poll_interval_seconds = 1 [default = 3600];
+
+  // Indicates whether the history corpuses have any derived data for a user.
+  optional bool has_derived_data = 2;
+}