Perceived that the screen did get taken out (9)
I believe the answer is:
discerned
'perceived that the screen' is the definition.
The definition and answer can be both to do with perception as well as being past participle verbs.
Maybe you can see a link between them that I don't see?
'did get taken out' is the wordplay.
'get' indicates putting letters inside.
'taken out' becomes 'scerne' (I can't explain this - if you can you should give a lot more credence to this answer).
'did' placed around 'scerne' is 'DISCERNED'.
Can you help me to learn more?
(Other definitions for discerned that I've seen before include "Identified by close investigation" , "Caught sight of" , "Distinguished, made out" .)