My prefix lost a life.
My suffix had a meal.
My infix has a life.
My whole is a big deal.
Hint:
perseverance
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Dedicate
My prefix lost a life.
Ded sounds like "dead"
My suffix had a meal.
Ate
My infix has a life.
Cat (some say it has nine).
My whole is a big deal.
To dedicate means to devote something, which is a big deal
Hint
"perseverance" suggests dedication which is what lead me to this guess.