Or that he drew on the power of the blessing of light to finish creating his new body. I'd imagine that the power of the blessing would probably have been enough for him to finish anything it might have still taken for such an ancient being to reincarnate (since he'd been kind of working on that for more than a decade.)

That was the impression I got, at least. That we'll get the Blessing back, but it'll be in a Midgardsomr flavor next time when he's deemed us worthy of having it back. In the meantime, he's not going to let that power simply languish in a being he deems currently unworthy of it.