The TTS says [나씀니다], which is what you are most likely to hear from native speakers when they speak fast, but [낟씀니다] is correct.

The ending 습니다 will sound the same. 낮 sounds like "naht" and "날 sounds like "nahr"

There is no expression like '날습니다' in Korean.

Because 장소 is actually how you read 場所 in Korean.

Especially since many words and even the sino-korean numbers are based from chinese. There is even a separate writing system called hanja. Ttmik(talk to me in korean) has started a lesson plan on this now.