This is one of these terms that varies regionally. In the US it's 'takeout', in Scotland it's 'carryout', in other places it's 'takeaway'. There may well be other, equally valid, terms in other English-speaking countries. Things that 'sound bad' to one English speaker are perfectly normal to others. As for the countable/uncountable issue, both can work and I think your reasoning is spot on. The countable option seems to be preferred in the British/Australian/NZ convention (as confirmed by Gary and Hilary). 'A takeaway' suggests a single order of food from one outlet. If you get several orders of food from different outlets, you could say '[some] takeaways' (as Gary suggests). Meanwhile, the American convention seems to be uncountable in all cases. This is confirmed by Chris (who didn't seem worried about the term 'takeaway' but still applied uncountable grammar) and DavidK (who rejected 'takeaway' and was particularly unhappy with the double wrongness of an unfamiliar term and seemingly incorrect grammar). Can you combine the conventions? I don't see why not. As is always (and increasingly) the case , the world at large is happier with US conventions than Americans are with British ones. Although BrE speakers tend to use the countable form, it wouldn't be wrong to use the uncountable : 'I got some takeaway' sounds fine, and it's a nice compromise to cover a situation where you multiple orders from several outlets. Forget your conspiracy theories. When it comes to countable and uncountables, there's probably more variety than you'd think. Providing the internal grammar of the sentence works ( i.e. correct singular/plural agreement of modifiers and verbs), the possibilities are actually quite flexible. Let that be your 'takeaway' from this experience?

It's countable: https://www.ldoceonline.com/dictionary/takeaway

Takeaway = Br Eng Takeout = AmEng In Australia I would say - I got two takeaway coffees. I would pluralise the food/drink not the word 'takeaway'. Although maybe, if I was saying we spent three days at the beach and I didn't want to cook, "We got takeaways every night", but that is counting each instance of getting takeaway food, not describing a single instance where I got multiple food items in one takeaway order. I do feel sorry for people learning English - there are so many different "Englishes" and none of them are very consistent!

Uncountable. "I got takeaway" or "I got some takeaway."

Here in New Zealand it is some takeaways. We tend to use that whether it's from one place or several. If I wanted to explicitly say what you said, I would say "I got some takeaways from several places".