Grundy Lake with Pets

Hey! I am planning to camp at Grundy Lake and We are just pitching tents. We have 2 pets, 1 cat and 1 dog. When camping with our pets, we usually leave food for our cat inside our tent as they are nocturnal. My concern is the bear will probably smell the cat food.

My question is, is it safe for them? Since i read that bears are common even in the campground area.