I don’t know that shavette, but it’s worth noting that not all shavettes are created equal, and that most shavettes are designed for hair stylists and don’t work well for shaving.

IME, a product like what grandparent said, the Feather Artist Club, are designed specifically for shaving (vs shaping hair, or shaving the back of the neck) and it makes an enormous difference. They’re on the pricey side, but worth it. The Artist Club razors are also excellent, and one model is a safety razor blade which makes shaving more comfortable.

As I said, I can’t speak to the one you have, but I’d guess they took a stylist’s shavette and paired it with some shaving gear to market it to shavers. I’ve had one of those back-clip style shavettes and did not find it acceptable - but your’s could be different. One give-away is that they’re showing using it with snapped safety razors. Notice that the corners of the blades are sharp angles:

Compare that to the Artist Club’s rounded corners:

These are much more forgiving, and much less likely to catch and cut you (pictured are the safety version, but the regular Artist Club blades also have rounded corners). You could also try these blades in your shavette, or find safety razors blades with rounded corners. That alone will improve your shave from your current shavette.

If you’re having trouble with it, though, consider getting a shavette designed for face shaving, from a reputable company.