Q530: Can the Lucky feat be used to override a Halfling's Luck reroll?

That is, if Bingo Smallburrows rolls a 1 on his Stealth check and uses his Halfing Luck to reroll it and gets a 2, could he then use his Lucky feat to try yet again? Halfling Luck says "you must use the new roll", but given that "specific supersedes general", I don't know which of the two is considered more specific in this case.