Pastry with extremely sweet, coarse caramel base (7)

I believe the answer is:

strudel

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'pastry' is the definition.
(strudel is a kind of pastry)

'extremely sweet coarse caramel base' is the wordplay.
'extremely' suggests removing the centre.
'coarse' becomes 'rude' (I've seen this before).
'caramel base' becomes 'l' (I am not sure about this - if you are sure you should believe this answer much more).
'sweet' with its middle removed is 'st'.
'st'+'rude'+'l'='STRUDEL'

'with' is the link.

Can you help me to learn more?

(Other definitions for strudel that I've seen before include "Austrian fruit-filled pastry" , "Pastry with filling (usually apple)" , "Fruit-filled pastry from Austria" , "German dessert" , "German pie" .)

I've seen this clue in The Guardian.

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