'Go away!', you broke in rudely (2,4,4)

I believe the answer is:

on your bike

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'go away' is the definition.
I don't know anything about this answer so I cannot judge whether this works.

'you broke in rudely' is the wordplay.
'rudely' is an anagram indicator.
'you'+'broke'+'in'='youbrokein'
'youbrokein' is an anagram of 'ON YOUR BIKE'.

Can you help me to learn more?

(Other definitions for on your bike that I've seen before include "Scram!" , "Get away!" , "mocking dismissal" , "Clear off! (slang)" .)

I've seen this clue in the Sydney Morning Herald.

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