Crossword Genius

Hire firm no thanks to Tauber (4)

Ross

I believe the answer is:

uber

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'hire firm' is the definition.
I know nothing about this answer so I can't tell whether this works.

'no thanks to tauber' is the wordplay.
'no' indicates named letters should be taken away.
'thanks' becomes 'ta' (UK informal version of 'thank you').
'tauber' with 'ta' removed is 'UBER'.

Can you help me to learn more?

(Other definitions for uber that I've seen before include "Taxi company" , "App-based alternative to taxis" .)

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