where stay near Venice - accomodations in Venice

Today I have received an email from my client that wrote :

"If we don't stay at hotel in Venice is it still possible for us to reenter Venice to do some sightseeing? I have heard that Venice is so overwhelmed by tourists that Venetians are leaving in droves and that this has promted the city to take steps to limit the tourist traffic. One of these steps, I have heard, is to only allow tourists who have accomodations in Venice to enter the city; day-trippers would not be allowed in. Is this true? I'd be interested in any insight you might have on this situation."

Attention : this news is FALSE !!!
Venice is opened to all people also if don't stay at hotels of this town !
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