New agent, same Snoop Dogg? (5,4)

I believe the answer is:

stage name

I'm a little stuck... Click here to teach me more about this clue!

'snoop dogg?' is the definition.
I can't judge whether this definition defines the answer.

'new agent same' is the wordplay.
'new' is an anagram indicator.
'agent'+'same'='agentsame'
'agentsame' anagrammed gives 'STAGE-NAME'.

Can you help me to learn more?

(Other definitions for stage name that I've seen before include "fresh identity" , "Lady Gaga, say" , "Actor's pseudonym" , "Player could go by this" .)

I've seen this clue in The Independent.

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