I can really tell there is no animations for this spider and it’s just an IK. However you can use IK with animations like usually and it will work
You can see that he has created an Inverse Kinematics for that rig, and he is just setting the position of ik target (foot). You can find the function on 1:22. Suggest to watch the video paying attention to 1:00 to 3:00 because there are calculations & functions you need.
After all, he is calculating offsets based on Raycast position, Root of the leg and StepForward argument
I’m not a professional at IK and if i’m wrong, i’m sorry