Lean to shed wall

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JonCamo

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Joined
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Location
Kent
Dear all

Ledger board is up for my lean to shed.
I am looking at options for the shed side off the patio. It will have a door and double glazed window. The face will be clad in 20mm oak t and g cladding. Thinking of using timber stud wall with celotex insulation as in the sketch below.
Questions:

Would the air Gap provided by using battens between the cladding and stud/celotex be sufficent?
Where do I put the vapour/breather membrane?
What thickness celotex advisable?
The inner face will be ply

The shed will be about 5.5m x 3m max height 2.5m

Thanking you in advance

Regards

Jon
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