Oven with glowing exterior got very hot (7)

I believe the answer is:

roasted

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'very hot' is the definition.
I can't tell whether this definition defines the answer.

'oven with glowing exterior' is the wordplay.
'oven' becomes 'oast' (oast is a kind of oven).
'with glowing' becomes 'red' (I've seen this before. I am not sure about the 'with' bit.**).
'exterior' indicates putting letters inside.
'oast' put inside 'red' is 'ROASTED'.

'got' acts as a link.

Can you help me to learn more?

(Other definitions for roasted that I've seen before include "Carpeted" , "Severely reprimanded" , "How meat might be cooked" , "Oven-cooked" , "Cooked (turkey?)" .)

I've seen this clue in The Independent.

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