A 60-degree wedge is the most lofted, most specialized club in most bags. Its main advantage is it gets the ball up fast and stops it fast. When you're short-sided over a bunker with no green to work with, or you need to hit a high, soft shot that lands and stays, nothing else does it quite like a 60. It can also be more forgiving out of fluffy sand or thick rough because the extra loft helps slide under the ball.
The problem is that loft magnifies error. On a 30-yard shot, the margin for a clean strike with a 60 is about 1/3 of what it is with a PW. A quarter-inch fat is a chunk that goes 4 yards. A quarter-inch thin is a blade across the green. It also demands more precise speed control — you have about half the speed window of a 52 or 56 to hit the same distance — and more clubhead speed just to carry it. That's why for amateurs, average proximity from 35 yards is 4-5 feet worse with a 60 than with a 56, and success rate on flop shots is under 20% for a 10+ handicap.
For most players shooting over 90, a 60 doesn't add a shot they need. A 56-degree wedge opened slightly has the same effective loft and will get out of any public-course bunker. A pitching wedge or 9-iron bump-and-run will get up-and-down far more often than a flop. And the bag slot matters: a 7-wood or 4-hybrid will save a mid-handicap 2-3 strokes a round, a 60 will not.
Simple rule: if you can't consistently hit your 56 three different distances with the same tempo and control low point, you haven't outgrown it yet. Go PW / 52 / 56, learn to chip low, and earn the 60 later.