Goofy regardless of goals the last couple of reps should be challenging.
snezy this is why I don't train at home and always ask gym staff for a spot when training at the gym, If it is only the smaller staff members then 2 or three will spot if I am in the later stages of a training cycle the other option for me is to ask one of the larger members who I trust to spot.
it should not be embarrassing to fail, it is only embarrassing if you have done something stupid (eg. video).
In competition or some gyms the bench used has safety bars which should be set just below chest height but above neck height so the even if the spotters fail your not going to be crushed.
as for the video, poor grip choice, poor spotting technique etc......