If I use hypersonic speed and and in the middle of my movement I make a critical miss do I take the click right there or do I finish my full movement and then take the click? I thought that a hypersonic speed attack was just a free action that happens in the middle of your movement.

Here's the scenario. Amazo does a hypersonic speed attack. He critical misses and his HHS goes away. Does he get to finish his movement or does he stop right there? While we're on the subject, what if I hit someone with the mystic's team ability and the same situation occurs?

you take the click after the attack, thus if the figure loses HSS your stuck.

Same happens with the mystics team ability situation

DRT

Done Right There

Same with Mystics? I know on the crit miss (which helped me many a time!) but isn't mystic after the action resolves? I guess the action in question WOULD be the attack action....

I don't have access to a PAC, so as usual please excuse my non-referenced response, but I am almost positive Mystics TA says to click the figure immediately.

clixer11 is correct.

So it is applied right after the Mystic takes damage which is before the HSS chacacter completes its movement.