Dodgson joined the Clarets in November 2020.
The Lancaster-born youngster joined the club from Manchester United, after spending two months on trial.
Dodgson, who can operate as a left-back and a left-midfielder, scored for the U23s against Aston Villa whilst on trial, and also featured for the U18s.
The former United youngster featured for both the U18s and U23s throghout the 2020/21 season and then signed a professional deal, ahead of the 2021/22 campaign.
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