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/logError.ts

@@ -0,0 +1,19 @@
+/**
+ * @file Frontend error logging utility that forwards errors to the backend telemetry service.
+ * @copyright nhcarrigan
+ * @license Naomi's Public License
+ * @author Naomi Carrigan
+ */
+/* eslint-disable no-console -- Errors are forwarded to backend via the overridden console.error */
+
+/**
+ * Logs an error to the backend telemetry service.
+ * Accepts the same arguments as console.error — conventionally a context string
+ * followed by the error value.
+ * @param logArguments - The values to log, forwarded directly to console.error.
+ */
+const logError = (...logArguments: Array<unknown>): void => {
+  console.error(...logArguments);
+};
+
+export { logError };