You can use the inspector in the scene editor to customize values for an actor behavior for one specific actor.
If it were me, even that would be too much of a hassle so I'd do this instead: First, name your scenes "Level 1", "Level 2", etc... something consistent. For your button, take the name of the scene and use the 'split text' block to split the scene name into two words. The second word will be the number. Convert the second word to a number attribute (in my example to follow it's called 'level'), add one to it, then go to scene "Level " + (level+1).
Example--
Set list L to "split scene name as text" into words
level = L[1] as number
increment level by 1
Go to scene "Level " & level // note the space after the word "Level " inside the quotes