Change "limited" to "bounded" and we agree.
The boundaries of what can be done are not defined by the boundaries of what can be conceived.
If an Omnipotent being can do something, then that doing that thing is possible. If it is possible to be done, it is therefore logically possible, by the very rules of logic.
Premise 1: Anything that can be done is that which is logically possible
Premise 2: An omnipotent being can do anything that can be done.
Conclusion: An omnipotent being can do anything that is logically possible.
Are you stating that premise 1 is false? That anything that can be done is that which is logically impossible?
Simply put, an omnipotent being cannot do that which cannot be done. If the omnipotent being can do it, then it
can be done.
If something is logically possible, then it can possibly be done.
It is not a limitation to say that an omnipotent being cannot do that which cannot be done. As soon as the omnipotent being can do it, such a thing can no longer be classified as "that which cannot be done".
An omnipotent being would have unlimited power. It can do everything that can be done. It cannot "do that which cannot be done" because that is a contradiction of terms.
"Power to do anything" does not include "that which cannot be done", because "that which cannot be done" is something that does not exist. It is not a "thing" it is a "nothing".