>ChatGPT doesn't do that
It can if you give it the option. My own openai chatbot prompts to either respond or to ponder by stating a question or considering a related idea. It infrequently will decide to ponder for one to about a dozen times as it restates an idea to itself in various forms, which gets recorded into the growing conversational prompt.
Elsewhere in the thread, someone mentions it always uses the same amount of time. In my estimation, it will spend longer on introspective or recursive prompts. Easier to get it ranting absurdities using those as well.
It's always the craziest chatter when the request takes a couple minutes to get back to me.