Really warm support Conservative lost (6)

I believe the answer is:

baking

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'really warm support' is the definition.
The definition and answer can be both acts as well as being singular nouns.
Maybe there's a link between them I don't understand?

I don't understand the rest of the clue.

Can you help me to learn more?

(Other definitions for baking that I've seen before include "Making bread, cake or pastry" , "For putting bun in the oven" , "Making bread, cake, etc." , "Very hot (in the kitchen?)" , "Very hot; making bread" .)

I've seen this clue in The Telegraph and The Sun.

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