Whether or not you can re-register it, may depend on who you get hold of at OK City. If you can’t re-register it, you can probably still get it registered as a different aircraft.
I bought a de-registered Falcon XP (N536AA). I called OK City and was told I could re-register it. I rounded up an FAA Bill of Sale from last registered owner, filled out appropriate forms to register, and sent it in. I did get a call
about it, and apparently they did call the last registered owner to verify. I did have to go through the process of applying for re-issuance of Airworthiness Certificate. A long dance with the FAA, but successfully registered it and still have it.
John Lewis (Ogden Utah EAA chapter) bought a de-registered Q2 out of Florida. He was told he would be unable to re-register it because it had been “scrapped”. They did allow him to apply for new registration as a new plane built from
parts, and he was able to acquire the same N# for it, so he has a successfully registered aircraft that was formerly de-registered.
Ping me off line if you have specific questions about my experience.