should I try to jump it again and drive it around for longer with all AC and radio off?
Please don't do that again (that is, jump start a car with a dead battery). If you suspect a battery is dead and not merely flat, it may not act as a good enough buffer for the car's electrical system. You should not jump start a car that may have a dead battery.
This means that when you jump start the car, and disconnect the donor vehicle, there can be voltage spikes from the alternator because the battery is not buffering those away. All sorts of expensive electronic damage can happen. In fact, jump starting a car with a dead battery is equivalent to removing a battery on the fly when the car is running. Yes, you can do it. No, you should not do it.
The correct way to start a car with a battery that may be dead is to charge it, either rapidly via thick jumper cables from another vehicle, or less rapidly via a charger.
Then, immediately when the charging is done (10 mins via thick jumper cables should be enough, with a dedicated charger few hours usually gives just enough juice unless it's a trickle charger), try to start the car. If it doesn't start, then replace the battery with a known good new unit.
Jump starting should be reserved for cases where you know that the battery is good but flat, for example when you forgot the headlights on and noticed it on the same or next day but too late.
Lead-acid batteries don't like extended deep discharge, so forgetting headlights on and noticing it after a few weeks, or letting the car sit for months, could destroy a lead-acid battery.