@tvoi-kotik No worries, You can use one story for the same. If you want that button menu should come after the greet intent or if you have other utterances then you need to create a different story for the same.
@tvoi-kotik Whenever the greet intent will be a trigger by a user such as hello, heya, hi, hola it will activate utter_greet action and then button actions. You need to experiment for the same.
Tip: Please some time you need to delete the older trained model and re-train the model if you think your code is 100 % correct.
If you need any further help please mention me.
I’d even encourage to please see the video series Conversational AI with Rasa: Introduction to Rasa - YouTube and even check some tutorial on youtube. Good Luck and keep safe!