Reoccurring dreams about my missing cat?

I think it's normal. I've had recurring dreams for years too about 2 cats I had that went missing around the same time. They were twins. I dreamed about them last night again too. Many of my dreams are about things I have lost in life even if they were long ago. I don't think it ever goes away.

What your dreams mean; it means you have to physically walk around at night and look for your cat. Your cat was trapped somewhere maybe in a shed or crawl space or garage and he is in pain all he can do is think about you and hope that you find him. That’s why you have dreams because your cat is thinking about you needing you to save him! This same exact thing happened to me and I heard my cat crying from underneath a neighbors house trapped in her crawl space! So go look now hope it’s not too late look all night so you can hear his cry’s

I have an inquisition about my dreaming too: I think everyone has a dream that circulates every so often, and for me, it's a small boy in an abandoned aquarium. I've only been to about three aquariums before, but this little boy lives there with his mother. And it's so strange, how details of strange phenomena can work their way into repetitive dreams, like your cat and how you put her in the backpack, and then release her. And not always is it something we have a mourning for, as for my friends and family have a mix of memory and questioning. But it is, from my analytical observations, normal to have dreams stuck on replay.

I think you're still mourning the loss and your subconscious is trying to settle any unresolved issues you have concerning your grief.