Crossword Genius

Insisted upon or abandoned? (4,4)

Ross

I believe the answer is:

laid down

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'abandoned?' is the definition.
The definition and answer can be both related to thinking as well as being past participle verbs.
Maybe there's a link between them I don't understand?

I don't understand how the rest of the clue works.

Can you help me to learn more?

(Other definitions for laid down that I've seen before include "Ordained" , "Stipulated - deposited" , "specified" , "Insisted upon - abandoned" .)

I've seen this clue in The Globe and Mail.
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