feat: add Rust reverse proxy with JSON logging

- Axum-based API server with Unix socket and TCP support
- Custom tracing formatters for Railway-compatible JSON logs
- SvelteKit hooks and Vite plugin for unified logging
- Justfile updated for concurrent dev workflow with hl log viewer

web/vite.config.ts

@@ -2,7 +2,14 @@ import { sveltekit } from "@sveltejs/kit/vite";
 import tailwindcss from "@tailwindcss/vite";
 import { defineConfig } from "vite";
 import Icons from "unplugin-icons/vite";
+import { jsonLogger } from "./vite-plugin-json-logger";
 
 export default defineConfig({
-  plugins: [tailwindcss(), sveltekit(), Icons({ compiler: "svelte" })],
+  plugins: [
+    jsonLogger(),
+    tailwindcss(),
+    sveltekit(),
+    Icons({ compiler: "svelte" }),
+  ],
+  clearScreen: false,
 });