The accumulator IS the dryer in a vehicle. It serves double duty, and it IS important that you replace this every time the system is opened up.
It is ESPECIALLY important to replace it if the system leak is on the vacuum side of the system, as you are guaranteed to have pulled air and moisture in now.
Do you have the part number, or know the make and model of the vehicle? These may be $50-60 in the parts stores, but are typically $20-30 online.
At $30, it really isn't worth the argon and your time to mess with this.
It's just an aluminum can with some ports, and a desiccant bag inside, but you cannot "recharge" the desiccant yourself. When you buy a new one, they are sealed up with fresh desiccant. You don't pop the seals until you're ready to install it. If you re-use the contaminated desiccant, you risk causing damage to the system after you re-charge it.
As for welding. Have you read threads about the dangers of welding around brake cleaner? Refrigerant is just as dangerous, and just as likely to create phosgene when welding around it. Thought you'd want to know that. I'm not sure what would happen to the desiccant or its bag, as you welded on the can, or if either would outgas something else dangerous too.