Even if we could get a perfect DNA genome of a dinosaur, how would we go about getting the biological machinery that would've converted those blueprints into a living organism?

We can modify the genes of living animals by creating viable zygotes, growing them into viable embryos, and implanting them into living wombs, because we already have a factory that is configured to process blueprints of a very similar type.

We don't have the ability to rebuild a dinosaur factory, even if we get the dinosaur blueprints again.