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City booked their place in the last-16 with a 2-1 win away at West Brom, thanks to two goals from Leroy Sane.
The Blues are looking to win the trophy for the fifth time, the last of which came in 2016 after a penalty shoot-out win over Liverpool.
Fourth round matches will take place on the week commencing October 23, with exact dates and times to follow soon.
Keep an eye on mancity.com in the coming days for ticket details.
The full draw is as follows:
Bristol City v Crystal Palace
Tottenham v West Ham
Arsenal v Norwich
Swansea v Manchester United
Chelsea v Everton
CITY v Wolves
Leicester v Leeds
Bournemouth v Middlesbrough
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