As soon as I'm no longer under the crane I jump onto my legs and before it has the chance to fly into the air I leap onto its back.
It hurriedly flails and thrashes around, attempting to get me off by any means necessary, but I'm absolutely not going to go anywhere until I get my system notification confirmed kill. I stab my spear deep into its back and use it as a support pole to which I can hold onto until it finishes its wild convulsive movements.
Finally, I've found where the crane's physical form causes it to have a giant weakness. It can't attack me here directly, it simply has no means to reach back here. The best it can do is throw itself into the wall, hoping to squash me into paste, which it also realizes as it slams into the chamber's fortified panel, but I react in time, letting go of my spear's handle and climb onto its long neck.