No, I'm suggesting, on a rather well-established basis, that computation alone is insufficient. This is all assuming that the mind is a product of the brain. Whatever the brain does to cause consciousness, it can not be by mere computation alone.
I don't know why you find this so troubling.
Please define consciousness. And please don't define it as "something that cannot be computed" as it would be defeating your point.
If your definition is "the fact of awareness by the mind of itself and the world", then you have to prove it is not computable. Is a cat conscious? A cat doesn't recognize itself in the mirror, so is it aware of itself? If the cat is not conscious, what is the mathematical difference between the brain of a cat and ours, where is the thing that make them not equivalent (in computation theory)? If the cat is conscious, is a lizard conscious then? And after the lizard, a worm, etc. All of these are examples of increasingly complex computation machines.
You are just a machine, get over it, it doesn't take away the beauty of what you can do with your mind.