All home-brewed -- a new product from the baker (9,5)

I believe the answer is:

wholemeal bread

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'product from the baker' is the definition.
I don't know anything about this answer so I can't tell whether this works.

'all home-brewed a new' is the wordplay.
'new' indicates an anagram.
'all'+'home'+'brewed'+'a'='allhomebreweda'
'allhomebreweda' with letters rearranged gives 'WHOLEMEAL BREAD'.

Can you help me to learn more?

(Other definitions for wholemeal bread that I've seen before include "part of healthy diet?" , "food" .)

I've seen this clue in The Telegraph.

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