fix: resolve module naming conflict and router type issues

Co-authored-by: aider (openai/andrew/openrouter/qwen/qwen3-coder) <aider@aider.chat>

src/modes/server/api/mod.rs

@@ -1,3 +1,5 @@
 pub mod item;
 pub mod status;
-pub mod routes;
+mod routes;
+
+pub use routes::add_routes;