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Yes, the rules must be respected, I know places where photography is forbidden, I don't know exactly why they have forbidden photography or filming, possibly to protect the objects inside (here I mean those with a high value), or not to degrade from camera flash, is still an enigma to me..

Yeah, I went to several places where it's like that. There are also places where it's okay to take picture with mobile phone but no professional camera.

Yes, this is a general rule, and here in Romania at many tourist attractions we can see many signs where photographing with flash is forbidden, maybe such decisions are justified, I don't know.