Is it permissible to drink juices from a place that serves alcoholic beverages, knowing that the cups designated for juices are not used for serving alcohol?

Drinking juices from a place that serves alcoholic beverages is permissible as long as you do not know the vessels are impure. However, it is not permissible to sit in places where alcohol is consumed, due to the Almighty’s saying: "And He has already revealed to you in the Book that when you hear the verses of Allah being denied and ridiculed, do not sit with them until they enter into another conversation. Indeed, if you did, you would then be like them." (An-Nisa 4:140) And the Prophet, peace and blessings be upon him, said: "Whoever believes in Allah and the Last Day should not sit at a table where wine is circulated." As for taking food from a hotel without sitting with alcohol drinkers, there is no harm in it.