[Codeforces] Update types, api, and add problem filtering

[YourMCGeek]

Description

• Updated types/api to be centralized accurate based on online documentation
• Added a utility class to provide typesafe requests, and with pagination where applicable
• Added support for filtering problems based on difficulty, closes #23834
• Improved handling for Cloudflare blocking when searching for problems
• Updated dependencies and ESLint configuration

Screencast

Checklist

• [x] I read the extension guidelines
• [x] I read the documentation about publishing
• [x] I ran npm run build and tested this distribution build in Raycast
• [x] I checked that files in the assets folder are used by the extension itself
• [x] I checked that assets used in the README are located outside the metadata folder if they were not generated with our metadata tool