Overlaps, use your polymer adhesive. Edges, I'd just use expanding foam again. Line it out and let it go tacky/expand (but not skinned over) then press the membrane onto it
Don’t know if it helps but my door is a one piece Horman (?) four point locking.
I fitted polystyrene to the metal faces using double sided tape covering the whole thing, using foil tape to join the sections together.
Then I used the slim silver insulation fabric to cover the door, it has to be tucked under the locking bars that go to the four corners. All edges and joints sealed with aluminium tape.
the bottom of the door has a rubber weather seal , there is a similar one at the top.
When adding seals you need to think about how the door opens in use.
The sides had a car type D rubber profile fitted, so when closed the door compresses the seal
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