You want to take out?

Last night, I was at Fat Thaiger in Haymarket. I had the pad kee mao with prawn. I am actually a regular there. Like 3 different staff there are familiar with what I order as I go like every week ever since I first came to Australia.

After finishing all the noodles and prawns leaving just a plate full of veg, I put the plate to the side of the table, and one of the ladies said something like "Want to take out?" I couldnt tell exactly what she said as it was a thick Thai accent, and there was loud music playing, but it sounded like this. I responded with something like "Yes, you can remove it" or something cause I thought she meant to ask me if she can take the plate out of the table, which is a weird way of saying to remove a plate from the table or to take a plate away from the table. I dont remember exactly what I said, though now I am trying to wonder something.

The ladies working there normally ask if they want to remove my plate after ordering this pad kee mao prawn, when I finish all the noodles and prawns leaving just the veg, but they say something like "Can I take this" or "Are you finished?"

If the lady said "Want to take out?", did she mean whether she wanted to take my plate out of the table or whether I wanted to pack the leftover veg I had on my plate into a takeaway container? I cant even tell if she saw that I was finished or not. I mean she even forgot to bring me my water that I had to go grab it myself despite she could easily see I had no water. Weirdly enough, she asked me if I wanted my thai milk tea, and she knew I always have the thai milk tea as dine-in that she did not even ask if I wanted to have it as having here or takeaway. The staff also know I never order takeaway, and they do see me wasting the veg despite no comment about it.

Now, if she asked "Want to take away?", this could mean both in Australia as to take the plate away from the table or to pack the veg in a takeaway container. In America, it would only mean to take the plate away from the table as we only use to go or takeout and never takeaway in verbal speech.

If this was in America, I would have assumed right away she meant takeaway as I had been asked my many servers back in America if I wanted the rest of my meal that I was still eating as to go despite they could see that I was still eating it. In Australia, takeaway is the normal term, so this confuses me.

Which is it for "want to take out" in this scenario? To take the plate of veg out of the table or to pack the leftover veg in a takeaway container?