School programs inspiring new, strong spirit (8)

I believe the answer is:

schnapps

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

'strong spirit' is the definition.
(I've seen this before)

'school programs inspiring new' is the wordplay.
'school' becomes 'sch' (common abbreviation).
'programs' becomes 'apps' (I am not sure about this - if you are sure you should give a lot more credence to this answer).
'inspiring' means one lot of letters goes inside another.
'new' becomes 'n' (common abbreviation eg NT for New Testament).
'sch'+'apps'='schapps'
'schapps' enclosing 'n' is 'SCHNAPPS'.

Can you help me to learn more?

(Other definitions for schnapps that I've seen before include "Strong spirits drunk in northern Europe, strong on consonants" , "Dutch spirit distilled from potatoes" , "Booze" , "Strong gin-like drink" , "Strong (Dutch?) liquor" .)

I've seen this clue in The Guardian.

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