How to attach deck ledger with furred out sheathing
Cut holes through the cladding with a hole saw then drill through the furring into the sill beam for the the size of bolt you want to use.
Using the same hole-saw to cut &quot;pucks&quot; from pressure treated  lumber, and drill their pilot holes out to the bolt size too.
using the pucks as spacers bolt your ledger through the furring to the sill beam.