Question about token pricing and API Key connecting

As they reduced the free use of Gemini 3 Pro Preview, I wanted to ask if the cost estimation is accurate. I use it primarily for story telling for myself.

Am i correct in my assumtion that if i create a project, put a billing plan on it and connect it to my chat that I can use 3 Pro Preview without daily limit for the displayed price?

I am not sure how this API Key works, so i am thankful for any clarification.