Embedded ChatGPT to iframe or similar functionality

Hi Folks!
I have a question about embedding ChatGPT into websites. Are there any solutions to integrate ChatGPT as an iframe or something similar? (Not via API).
I know OpenAI doesn’t allow you to add ChatGPT to the iframe itself, but maybe there are some solutions on how to do that or similar?
For example, using proxy servers or frameworks like Puppeteer or Playwright?
Or maybe there are apps or sites that provide the same functionality as ChatGPT. I mean UI, history, etc.
Because I’ve researched many chatbots that exist and no one solves this problem, because they use the API and don’t provide all functionality, or have different UI, or use as customer supports.

This action is not permitted.

If you wish to create a similar experience, you will need to use the API, which will incur associated costs.

In other words, you cannot use ChatGPT’s services for free while monetizing through ads.

Costs are not an issue, I can pay for another app that can provide this functionality, for example.
Because you can’t do everything that ChatGPT provides with an API. So I think that if there is an opportunity to do it with third-party services that maybe have agreements with OpenAI, that would be great.
Or maybe OpenAI can provided this capability on their own (to use their interface, not API, in third-party apps)

It would be great if there was some kind of library, app, or hack that allowed you to do this. And it doesn’t matter if it’s free or not