Push, move and engage

[Mithrandir]

If a model is engaged and gets a push (e.g. Shastar Vidiya Guard's Mantra (traveler), which allows him to push 2" when he focuses), can it get out of engagement?

Same with a rule like Butterfly Jump (move up to 3" after being targeted by an Attack Action): can it disengage with it?

 

[Nikodemus]

In 2nd edition you can 'Push' out of engagements without issues (only 'Walk' actions trigger disengaging strikes, see "Disengaging" on page 48-49 of the small rulebook).

No idea if you're asking about third edition.

[Adran]

In 3rd ( at the time of typing) the only action that stops you leaving engagement is the walk action.