Not long. Sam Altman has basically said it's extremely expensive to run the queries and they need people to pay for it.

GPT3 is paid for. ChatGPT is a fine tuned version (or more modified now) with free access.

The compute to run it is emphatically not free.

Yes, but GPT3 is a paid for product already with no free access (I think they give you some credits when signing up but that's it). This project does not use ChatGPT. ChatGPT is what has free access at the moment.

I just signed up for ChatGPT Plus at $20/month. They have a new "Turbo" model which seems very similar to the normal one. They also said that a ChatGPT API is coming.

I use the OpenAI text-davinci-003 for the service I am building which is somewhat like ChatGPT.