fix(problem response): omit @context

Author: coderbyheart

src/problemResponse.ts

@@ -1,5 +1,6 @@
 import { formatTypeBoxErrors } from '@hello.nrfcloud.com/proto'
 import {
+	Context,
 	HttpStatusCode,
 	type ProblemDetail,
 } from '@hello.nrfcloud.com/proto/hello'
@@ -8,16 +9,19 @@ import type { Static } from '@sinclair/typebox'
 import type {
 	APIGatewayProxyEventV2,
 	APIGatewayProxyStructuredResultV2,
-	Context,
+	Context as LambdaContext,
 } from 'aws-lambda'
 import { aProblem } from './aProblem.js'
 import { ValidationFailedError } from './validateInput.js'
 
 export class ProblemDetailError extends Error {
 	public readonly problem: Static<typeof ProblemDetail>
-	constructor(problem: Static<typeof ProblemDetail>) {
+	constructor(problem: Omit<Static<typeof ProblemDetail>, '@context'>) {
 		super(problem.title)
-		this.problem = problem
+		this.problem = {
+			'@context': Context.problemDetail.toString(),
+			...problem,
+		}
 		this.name = 'ProblemDetailError'
 	}
 }
@@ -26,7 +30,7 @@ export const problemResponse = (): MiddlewareObj<
 	APIGatewayProxyEventV2,
 	APIGatewayProxyStructuredResultV2,
 	Error,
-	Context
+	LambdaContext
 > => ({
 	onError: async (req) => {
 		if (req.error instanceof ValidationFailedError) {