Wick and Brechin will have to do it all again following a thrilling draw in their Scottish Cup third round tie.
Davie Allan's flick put the Highland League side in front, while goals from Charlie King and Kevin Byers turned things back in City's favour.
Allan set up Sam Mackay to score after 42 minutes before Allan grabbed his second with another well-taken goal.
Mackay then scored from the penalty spot but Rory McAllister hit back and Charlie King snatched a late leveller.
Wick Academy: Bokas, Campbell, Manson, Ross, MacLeod, Craig Shearer, Alan Farquhar, Mackay, David Allan, MacAdie, Cunningham. Subs Not Used: Cowie, McKiddie, Shaun Sinclair, Ross Allan, Budge.
Goals: David Allan 8, Mackay 32, David Allan 45, Mackay 60 pen.
Brechin City: Nelson, Walker, Dyer, McLean, Seeley, Smith, King, Janczyk, McAllister, Renton (Fusco 59), Byers. Subs Not Used: Cowan, Docherty, McKenna, Scott.
Booked: Nelson. Goals: King 12, Byers 17, McAllister 75, King 85.
Att: 177
Ref: C Brown
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