Personally, I have no fundamental problem with the idea that life and its rules, the things that make it work, were created by an intelligent designer. The theory of evolution doesn’t explain how life began. It describes a mechanism that can explain how it developed from that starting point.
I accept evolution as the best explanation as to how the diversity of life on earth has developed. I don’t believe it explains how life began. I regard evolution as the mechanism God put in place to do his work.
Thus, the nucleotides (symbols) of DNA are arranged in a sequence (rules) so that specific amino acids can be assembled in a similar manner to create a protein chain to create (action) an organism to accomplish some purpose in the being. This can in no wise be a random process, it's complexity alone argues for intentionality. The "information" is the blueprint to make that happen.
But you are assuming genetic perfection, for the above to hold as "information". In reality, it's not always so. Errors are included, which cause abnormalities which are filtered out by natural selection-sorting; both being continual processes, as error generation is intrinsic to the randomness involved in the gene formation processes. The complexity witnessed today is the result of innumerable iterations of the build-up processes connecting all the way back to the initial assemblies, which needn't necessarily have been as complex, but would have established the foundation for the processes to build from. If this initial formation can be replicated in the lab, using purely physical interactions replicable by the natural world, then the entire "intelligence" argument collapses.
Again, if complexity is the argument, then suppose the instance of a dust cloud drifting in space being pulled into the gravitational field of a mass system that it approaches. If the interacting forces kick-start a chain reaction leading to the coalescence of the particles into planetary bodies, orbiting the mass system, in precise paths and if further interactions within each entity enhance the system even more, then, when viewed from outside the frame, such a system could be deemed as sufficiently "complex", with mathematically-defined motions of the interacting entities. Why is such a formation any less complex than that of genetics?