The term 'LOFTY Lobbies' is a combination of two words, 'LOFTY' and 'lobbies'. The word 'LOFTY' means high or elevated, while the word 'lobbies' refers to a large room or hall in a public building. The crossword solution for this term is 'atria', which is a large open space, usually with a skylight, that is located at the entrance of a building. Atria are often used as lobbies in public buildings, and they are typically designed to be grand and impressive.