Next time use a Japanese Industry Standard (JIS) Phillips Screwdriver or a Hand Impact Driver Phillips.
American Phillips are designed to cam out (slip). Mass Production feature so that the Assembly Technician never had to worry about over-torquing a Screw. The Screwdriver Tip just slips out or cams-out. Next!
The Japanese had a different approach where the Phillips was designed to handle more torque; thus the Screw Head Slots were manufactured deeper and at a different Angle. JIS Tips and Impact Driver Tips are the match.
Vessel Screwdrivers are good quality.
JIS (Japanese Industrial Standard)