That golf cart battery will have a couple hundred watt-hours. Divide that by the watts you'll use and you get hours of use. Real world performance will be less. How long do you need to run off the battery for?

At 6V, you'll need to convert to whatever your laptop is running on and the Starlink will want at least 12V. The bigger the jump, the bigger the loss. I'd look at a higher voltage battery.

And lifepo will serve you better in many respects as well. For a mobile setup, it will be lighter, for example.