Knowing how one comes across dotty false pottery (4-5)

I believe the answer is:

self-aware

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'knowing how one comes across' is the definition.
I can't tell whether this definition defines the answer.

'dotty false pottery' is the wordplay.
'dotty' indicates anagramming the letters (a mad or 'dotty' version of the letters).
'pottery' becomes 'ware' (I've seen this before).
'false' anagrammed gives 'selfa'.
'selfa'+'ware'='SELF-AWARE'

Can you help me to learn more?

I've seen this clue in The Telegraph.

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