Getting from Livorno Centrale station to Moby ferry

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I am about to book a "Moby Ferries" ferry from Livorno to Olbia (Sardinia). Ferry departs at 22:00. The FRECCIABIANCA train arrives at 19:44. Is it manageable to get from the train station to ferry harbour using local public transport?
Is there a direct bus?
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Sardinia | Moby Wonder Ferry from Olbia to Livorno
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Images: Maria Orlova, D J, Andrea Piacquadio, Sascha Hormel