Early transportation from Venice hotel to airport?

I am visiting Venice and staying near the Rialto Bridge. My flight back home is at 6:30am. Are there taxis that can take me to the airport or do I need to take a vaporetto? Do vaporettos even run as early as 3:30am (when I should leave for the international flight)?

Will I need to go to the train station and take the train to the airport? I will be exhausted so I am OK with paying more for the quickest way to get to the airport.

Thanks!
The earliest bus (#35) leaves Piazzale Roma about 5:00 and arrives at the airport at about 5:20. As indicated at the bottom of the schedules page it leaves from the D2 stop:

Your best bet is a taxi from Piazzale Roma to the airport. It takes about 20 minutes like the bus.

There is an Alilaguna boat on the Blu line that leaves from the San Marco stop at 3:40 am and arrives at the airport at approximately 5 am. The schedule is here: The boats from the Rialto stop to the airport don't run that early.

Personally, I would go with the taxi from Piazzale Roma.

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