Before the pandemic, there was no pickup at the Hyatt. You were directed to go down to the lower level of Terminal B and catch the bus there. A few posters here have reported that they now send a bus directly to the Hyatt for all the guests staying there. I’m not sure if this is for all cruises or only those with enough guests staying at the Hyatt
More specifically, a cast member escorts you from the desk in the Hyatt lobby down to the DCL bus. At least, that's how it was for me in September. It might've changed since then.