refactor(core): Separate API response from error in execution error causes (no-changelog) (#7880)

Store the third-party API response error separately from the error
stored as `cause`

Follow-up to:
https://github.com/n8n-io/n8n/pull/7820#discussion_r1406009154

packages/nodes-base/nodes/StopAndError/test/node/StopAndError.test.ts

@@ -88,7 +88,7 @@ describe('Execute Stop and Error Node', () => {
 			const stopAndError1RunData = result.data.resultData.runData['Stop and Error1'];
 			const stopAndError1Object = (
 				(stopAndError1RunData as unknown as IDataObject[])[0].error as IDataObject
-			).cause;
+			).errorResponse;
 
 			expect(stopAndError1Object).toEqual({
 				code: 404,