Will my sago live if a snail has partially eaten the new shoots in the center of the foliage?

I went out to check to see if it was pruning time and found a large snail in the center of my sago and it had apparently eaten about 2-3 inches off the top of the new shoots. It left only one full shoot. I'd just like to know if the palm is going to come out of this and continue to grow new shoots or if there is something I need to do in the meantime. I'd also like to know what to do to get rid of snails without harming the plants or my dog. They seem to be taking over all my flowerbeds this year. Thank you.