By Arriana McLymore and Deborah Mary Sophia (Reuters) -Bed Bath & Beyond Inc on Tuesday reported a third-quarter loss of $393 million after early holiday sales failed to provide a respite from the months’ long cash burn that led to warnings of a possible bankruptcy. The home goods seller has been struggling with a dwindling cash pile as vendors have been demanding payments more swiftly. Also, sales have been slammed across the home goods and decor sectors as the economy has slowed. Bed Bath & Beyond said last week it was exploring options, including bankruptcy, after taking on of $375 million …