The math looks good for a *very close* flyby of the Sun. But it leaves some uncertainty as to the comet's final fate.

It won't hit the Sun, but is close enough that the comet itself may be horrendously damaged by its proximity to the Sun. If any pieces survive (or the comet survives largely intact), they (it) will have attained enough velocity to escape the Solar System.

That's really about it. All the rest is Doom-dross.