Zachery Ty Bryan, who played the character Brad on the sitcom “Home Improvement,” was arrested overnight in Eugene, Oregon, after allegedly assaulting a woman he’s been in a relationship with, police said Saturday.Bryan, 39, was booked into the Lane County Jail and faces charges of strangulation, assault in the fourth degree and interfering with making a report, according to authorities.The Eugene Police Department said officers responded to a report of a physical dispute around 10:24 p.m. local time Friday night.Officers arrived to find Bryan sitting outside a residence while the victim, 27, …