The displayed Via Currentvia current is not a maximum, but rather a recommendation to keep the temperature under control. A rise of 20° to 30° in temperature is usally fine, but it depends on your application.
If you have the space to integrate multiple vias in parallel, go for it! I.
I would suggest going with conservative values of 500mA per via for a 10° rise or using even bigger vias if your manufacture allows it.
Here is a tool for calculating temperature depending on via parameters.