I don't really know, but if you explain your situation I'd think they'd work with you. I've always heard that you could order take out from the TS, but you must go to the podium to do so, you can't just call it in.
However when I was there in May, Mama Melrose was turing away people who didn't have PS. There was a couple a few people ahead of me who weren't taking no for an answer and kept saying they would wait for a table. The wife finally said they would just order to go, but the CM said they couldn't do that either. They finally demanded a manager be called, but apparently someone had already called him, because he arrived about that time. He also explained PS to them and that not only were walkups not being taken, but they could not order takeout. The couple continued to get louder. I guess they thought that if they caused a big enough scene the CMs would back down, but they didn't. Finally the guy in front of me said 'What part of no are you not getting, now leave so the rest of us can get in'. The man was really angry and said to the CM "Are you telling me all these people called three months ago to get in here tonight". It was really funny because at almost the same time we all yelled 'YES'. They finally left, but he was muttering that he couldn't believe they weren't allowed to wait for a table or couldn't even order take out. It may have been because they were so disruptive though.