YOU SAID:
I went to the shop to buy milk.
INTO JAPANESE
私は牛乳を買いに店に行った。
BACK INTO ENGLISH
I went to the store to buy milk.
INTO JAPANESE
ミルクを買いに行った。
BACK INTO ENGLISH
I went to buy milk.
INTO JAPANESE
牛乳を買いに行った。
BACK INTO ENGLISH
I went to buy milk.
That didn't even make that much sense in English.