Enchantment of ordering big Macs without sides (5)

I believe the answer is:

magic

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'enchantment' is the definition.
(I've seen this in another clue)

'ordering big macs without sides' is the wordplay.
'ordering big' becomes 'magi' (I can't explain this - if you can you should believe this answer much more).
'macs' becomes 'macks' ('mack' can be a synonym of 'mac').
'without sides' indicates the central letters.
The middle letter of 'macks' is 'c'.
'magi'+'c'='MAGIC'

'of' is the link.

Can you help me to learn more?

(Other definitions for magic that I've seen before include "Prestidigitation" , "Conjuring trick, legerdemain" , "Sorcery - conjuring" , "The art of illusion" , "Illusory feat" .)

I've seen this clue in the Sydney Morning Herald.

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