Let's say we have on the table
Daenerys Targaryen - only relevant here for trait Stormborn
Reaction: After you win a challenge in which a single Stormborn character you control is participating, choose and stand a Stormborn character. (Limit once per phase.)
Now we attack with Danny she wins and uses reaction from Rhaegal.
After that Rhaegal dies and goes to dead pile from enemy claim
Now opponent attacks with Intrigue
Fire and Blood
Challenges Action: Choose a unique [Targaryen] character in your dead pile, and shuffle it back into your deck. If that character is a Hatchling, you may put it into play instead.
And put Rhaegal back into play. If I defend with Danny and win can Rhaegal reaction be used again (since limit is part of his ability was it cleared after it went to dead pile ? ) or limits are global and counted per player no matter what happens to the card that had that limited ability ?