How to control this in Kontakt?
How to control tempo in session keys
While playing, I want to change the tempo
Your DAW decides the tempo used for playback. Half-time/Double-time options in Session Keys is not automatable or MIDI learnable, so you cannot change that in any other way than with the mouse.
If you're using Kontakt standalone, you need to open the Master panel and change the tempo there.
You may want to ask E-instruments about this. This isn't a Kontakt feature and unless somebody has the same library, it's a tough one to check.