The Brazilian’s brace took his goal tally up to 15 for the season as the Seagulls came from behind to advance to the fourth round.
The unfortunate Jan Paul van Hecke turned to ball into his own net on 16 minutes before another stunning Pervis Estupiñán strike saw Albion level at the break.
Lewis Dunk’s close-range header saw Brighton take the lead in the second half, but City hit back through Lewis Baker’s penalty.
Pedro put Albion’s noses in front again on 71 minutes, before the 22-year-old made sure of the Seagulls’ progress with ten minutes remaining.
Brighton will discover who they will play in the fourth round in tomorrow evening’s [January 8] draw.
Here’s a selection of images from the game courtesy of Getty Images.

1. Brilliant pictures from Brighton & Hove Albion’s excellent FA Cup third round win at Stoke City
STOKE ON TRENT, ENGLAND - JANUARY 06: Brighton & Hove Albion fans celebrate the teams first goal in the stands during the Emirates FA Cup Third Round match between Stoke City and Brighton and Hove Albion at Bet365 Stadium on January 06, 2024 in Stoke on Trent, England. (Photo by Ben Roberts Photo/Getty Images) Photo: Ben Roberts Photo/Getty Images

2. Brilliant pictures from Brighton & Hove Albion’s excellent FA Cup third round win at Stoke City
STOKE ON TRENT, ENGLAND - JANUARY 06: A fan of Brighton & Hove Albion fan holding a cut out of the FA Cup trophy during the Emirates FA Cup Third Round match between Stoke City and Brighton and Hove Albion at Bet365 Stadium on January 06, 2024 in Stoke on Trent, England. (Photo by Ben Roberts Photo/Getty Images) Photo: Ben Roberts Photo/Getty Images

3. Brilliant pictures from Brighton & Hove Albion’s excellent FA Cup third round win at Stoke City
Stoke City's Dutch defender #17 Ki-Jana Hoever (L) vies with Brighton's Polish midfielder #15 Jakub Moder (R) during the English FA Cup third round football match between Stoke City and Brighton and Hove Albion at the bet365 Stadium, in Stoke on Trent, central England, on January 6, 2024. (Photo by Darren Staples/AFP via Getty Images) Photo: DARREN STAPLES/AFP via Getty Images

4. Brilliant pictures from Brighton & Hove Albion’s excellent FA Cup third round win at Stoke City
STOKE ON TRENT, ENGLAND - JANUARY 06: Bae Jun-Ho of Stoke City runs with the ball during the Emirates FA Cup Third Round match between Stoke City and Brighton and Hove Albion at Bet365 Stadium on January 06, 2024 in Stoke on Trent, England. (Photo by Ben Roberts Photo/Getty Images) Photo: Ben Roberts Photo/Getty Images