wong2/chatgpt-google-extension ? reverse-engineered prompt

Build me a browser extension that shows ChatGPT answers right next to search results when I search on Google and other major search engines.

I want it to feel clean and useful, with support for popular engines like Google, Bing, DuckDuckGo, Yahoo, Brave, Baidu, Naver, Yandex, Kagi, and Searx. It should render nicely with markdown, code highlighting, dark mode, and an easy copy to clipboard action. Please include support for both the official OpenAI API and ChatGPT Plus, plus a way to give feedback that can improve the answer. It should also let me switch languages and have a custom trigger mode.

Make it work as a Chrome and Firefox extension, and if anything needs current browser or API details, look them up online. Keep the UI simple and polished, and make sure the extension loads correctly from a built version for each browser.