fix: add comprehensive error handling and logging to api and web

Wrap all async API route handlers and services in try/catch blocks,
piping errors to the @nhcarrigan/logger telemetry service. Add a
frontend logError utility, React ErrorBoundary, and overridden console
to forward all unhandled client-side errors to the backend telemetry
endpoint.

apps/api/src/middleware/auth.ts

@@ -6,6 +6,7 @@
  */
 
 import { verifyToken } from "../services/jwt.js";
+import { logger } from "../services/logger.js";
 import type { HonoEnvironment } from "../types/hono.js";
 import type { MiddlewareHandler } from "hono";
 
@@ -33,7 +34,13 @@ export const authMiddleware: MiddlewareHandler<HonoEnvironment> = async(
   try {
     const payload = verifyToken(token);
     context.set("discordId", payload.discordId);
-  } catch {
+  } catch (error) {
+    void logger.error(
+      "auth_middleware",
+      error instanceof Error
+        ? error
+        : new Error(String(error)),
+    );
     return context.json({ error: "Invalid or expired token" }, 401);
   }