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Sam also posted a picture from the luxurious bedroom, which boasts stunning water and mountain views.
The exclusive island, which has become a celebrity hotspot since international travel was banned, is privately owned and available to rent.
Glamorous getaway: Sam, 44, shared a number of holiday snaps on Instagram, including this photo of the island s rustic boathouse
According to its website, the island offers an endless supply of wild oysters, in addition to a kitchen garden, orchard and fishing equipment.
The Lavenders wouldn t have been short of activities, as kayaks, snorkels, stand-up paddle boards, yoga mats, flippers and board games are all available.
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The blonde beauty shared a photo of the shells and wrote: So delicious I forgot to take a pic before demolishing.
She followed that with a photo of her beau carrying a box oysters and bucket, which she captioned: My husband. loves an oyster.
Island escape: The 40-year-old shared glimpses of trip to the Apple Isle on Saturday, starting with a short video of a barge transporting the couple s car from Tasmania to the idyllic Bruny Island. They soon enjoyed some oysters
Holiday mode: The Sunrise host followed that with a photo of her beau carrying a box oysters and bucket, which she captioned: My husband. loves an oyster