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/web/src/utils/logger.ts

@@ -0,0 +1,68 @@
+/**
+ * @file Frontend logger that forwards console output to the backend telemetry service.
+ * @copyright nhcarrigan
+ * @license Naomi's Public License
+ * @author Naomi Carrigan
+ */
+/* eslint-disable no-console -- This file intentionally overrides console methods */
+
+type Level = "debug" | "info" | "warn";
+
+const post = (path: string, body: object): void => {
+  void fetch(path, {
+    body:    JSON.stringify(body),
+    // eslint-disable-next-line @typescript-eslint/naming-convention -- HTTP header names use kebab-case
+    headers: { "Content-Type": "application/json" },
+    method:  "POST",
+  }).catch(() => {
+    // Intentionally swallowed — we cannot log logger failures without infinite recursion.
+  });
+};
+
+/**
+ * Overrides the global console.log and console.error methods so that all
+ * frontend log output is forwarded to the backend telemetry endpoints.
+ * Must be called once at application startup before any other code runs.
+ */
+const initialiseFrontendLogger = (): void => {
+  const originalLog = console.log.bind(console);
+  const originalError = console.error.bind(console);
+
+  console.log = (...consoleArguments: Array<unknown>): void => {
+    originalLog(...consoleArguments);
+    const level: Level = "info";
+    const message = consoleArguments.map((argument) => {
+      return typeof argument === "string"
+        ? argument
+        : JSON.stringify(argument);
+    }).join(" ");
+    post("/api/fe/log", { level, message });
+  };
+
+  console.error = (...consoleArguments: Array<unknown>): void => {
+    originalError(...consoleArguments);
+    const message = consoleArguments.map((argument) => {
+      if (argument instanceof Error) {
+        return `${argument.message}\n${argument.stack ?? ""}`;
+      }
+      return typeof argument === "string"
+        ? argument
+        : JSON.stringify(argument);
+    }).join(" ");
+    const context = "console.error";
+    post("/api/fe/error", { context, message });
+  };
+
+  console.warn = (...consoleArguments: Array<unknown>): void => {
+    originalLog(...consoleArguments);
+    const level: Level = "warn";
+    const message = consoleArguments.map((argument) => {
+      return typeof argument === "string"
+        ? argument
+        : JSON.stringify(argument);
+    }).join(" ");
+    post("/api/fe/log", { level, message });
+  };
+};
+
+export { initialiseFrontendLogger };