I haven't played Jump King but I am guessing from videos, you hold some kind of key to jump and based on how long you hold, the jump height changes?
If that is the case, something similar I did was add an instance variable called "jumpLength" (number). Then in the event sheet I would do something like:
Key is down (Space) -> Add to jumpLength variable (dt).
Then in your jump logic, simply add jumpLength. You can increase how high the jump is by multiplying a constant instead of just adding "dt" so something like "5 * dt" for example.
Note that it would be a good idea to have another variable called "maxJumpLength" to limit how high the jump can be.