Ard can puppeteer his body using his near infinite astral bodies, it's why soul hax won't work, but really should be like an unconventional hax resistance, idk how we would list that, you can still affect his physical body just fine, but he can use his astral body to still attack.
As for his information manipulation, he can use it to convert things from one thing to another, he essentially made ghosts into physical humans with that.
Attack Reflection, EE etc are all well and good, but Ard's main stick is Analysis and Control, he can analyze and control all concepts, so he analyzes his opponents, and then either nulls their abilities, or modifies them to suit his purposes like making their hax work on everyone except him. Does this against power null, mind manipulation, law manipulation etc etc, specialized skills are just these weird abilities certain ppl have that are normally beyond his analysis.
Eigen Space doesn't require prep, he faced an opponent who used it on him, which he analyzed and took control of, but additionally, he himself can use the spell, he used that against an opponent he couldn't beat, literally forcing a stalemate where due to manipulating the rules of the space, neither side could win.