It's crusty yet soft, that is (3)

I believe the answer is:

pie

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'it's crusty' is the definition.
I can't tell whether this defines the answer.

'soft that is' is the wordplay.
'soft' becomes 'p' (musical abbreviation for piano, 'soft').
'that is' becomes 'ie' (abbreviation for id est, 'that is' in Latin).
'p'+'ie'='PIE'

'yet' is the link.

Can you help me to learn more?

(Other definitions for pie that I've seen before include "Pastry-crust savoury" , "Small, former coin of India" , "Confused, mixed type" , "what to cook for dinner?" , "In the sky, it's an empty promise" .)

I've seen this clue in the Evening Standard.

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