We’re told the shopping date went down Tuesday night in West Los Angeles … marking the third time this week we’ve seen Sam and Brooke out in public together. Folks who were there say Sam and Brooke were picking out furniture in the back of the store … looking at large mirrors and other furnishings. We’re told they seemed to be in good spirits and were even holding hands as they made their way around the store. While Sam and Brooke have yet to comment on their relationship status, they’re looking more and more like a potential couple … we saw them out shopping on Melrose earlier this week, when they engaged in some PDA.