This is also sometimes referred to as the “flap” t.
Some examples: better, batter, butter, letter, waiter, writer, water, litter, greater, lighter, wetter
waited, righted, lighted, matted, sighted, fitted, metabolic
artificial, comforting, dirty
fatal, hospital, turtle
Listen to these words. The first has the t pronounced with the puff of air, and the second is without, the way most Americans produce the word.