To debate whether "God designed God" presumes that God exists in time,
and hence in space due to the space-time linkage. To be designed
requires the element of time, that is, before being designed the
item did not exist. This line of reasoning makes no sense when
speaking of something (God) which doesn't exist is either time or
space. Thus, any questions regarding "when" God was created are
illogical questions.
Our minds have very little ability to ponder issues that exist
outside of our only domain of space and time. We can easily stop
time, or permutate space and time, but thinking about things in
neither space nor time becomes quickly futile.
Steve