This is a very dirty Tektro 559 on a Chicago Schwinn Varsity stopping a 700c x 40mm rim and tire. You can see a lot of daylight above the tire so this might wrap around an even bigger tire.
View showing clearance on side of 700c x 40mm tire installation. This brake has a quick release and works just fine on my road/gravel bike.
Viperocco these dual pivot Tektro 559 brakes might work on your Giant Simple. They are not too expensive, have a nice quick release and work well. They use short travel brake levers. As you can see my fork limits my tire size but the brakes look to handle a lot more tire than I can mount.