Meaning to get totally engrossed in (6)

I believe the answer is:

intent

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This could be a double definition.

'meaning' is the first definition.
(I know that intent is a type of meaning)

'engrossed in' is the second definition.
(thesaurus)

'to get totally' acts as a link.
This may not be correct. Some or all of it may belong to one of the definitions.

Can you help me to learn more?

(Other definitions for intent that I've seen before include "Earnest, purpose" , "Meaning -- determined" , "'Engrossed, absorbed (6)'" , "'Purpose, aim (6)'" , "Bent on, resolved" .)

I've seen this clue in the Evening Standard.

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