Supposedly, you should be able to get 10 amp continuously out of it for 3 hours, hence 30 amp/hour. Practically, it will drop in voltage over the period such that the device it hooks to will stop working at some point. These deep discharge batteries are tough and can take being discharged down quite a bit and not sustain damage; especially the AGM cells. You don't have to worry about adding water or it spilling when the robot flips over, but don't leave it on it's side or upside down for a long time; especially if it is charging. There is a vent on it somewhere to release gasses, and if it's upside down and charging, it may leak fluid due to gas pressure. Don't leave it fully discharged for very long (measured in days) or it will damage the cell.
Deeply discharged AGM batteries take a longer time to charge and require a lower charge current than 'regular' lead acid. If you check the manufacturer's web site (if you can find it) they will show recommended maximum charge current. The charge current is a function of cell area so it varies. Many AGM batteries recommend 13.4-13.6 VDC float to maintain charge and not damage the battery. You can find chargers that do this, or just get an lm317 and hook it up.
Yes, I have a few of them.