Is it impossible to access the cookie through HTTP response while using Flutter?

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No, it is not impossible to access cookies through HTTP response while using Flutter. You can use the http package to make HTTP requests and retrieve cookies in the response header using the headers property. Here's an example:

import 'package:http/http.dart' as http;

final response = await http.get(url);
final cookie = response.headers['set-cookie'];

This will retrieve the set-cookie header from the HTTP response and store it in the cookie variable. You can then use this cookie in subsequent HTTP requests.