Crossword Genius

Support doctor inhaling O2 as a way out (4,4)

Ross

I believe the answer is:

back door

I'm a little stuck... Click here to teach me more about this clue!

'spansupport doctor inhaling ospansub2subspan as a' is the definition.
I can't tell whether this defines the answer.

'way outspan' is the wordplay.
I cannot quite understand how this works, but
'way' could be 'door' (door is a kind of way) and 'door' is present in the answer.
The remaining letters 'back' is a valid word which might be clued in a way I don't understand.
This may be the basis of clue (or it may be nonsense).

Can you help me to learn more?

(Other definitions for back door that I've seen before include "Underhand means of entry?" , "Secret or underhand - through rear entrance" , "Clandestine" .)

I've seen this clue in The Guardian.
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