The first stage of the tournament "named after Van Kanigem"

I also have a question...

7. Prohibited: redeeming your dismissed heroes on the same day (i.e., using the "dismissal-redemption" tactic);
it is also forbidden to buy heroes who died in battle (do not confuse with those who fled)!

Is it forbidden to buy heroes who died in battle at all? Or only on the same day (i.e., the day of death)? And what about the hit & run tactic? Because I don't pay attention to whether this hero has already died or not...