TrigEgammaHypo: header cleanup

Bertrand Martin Dit Latourrequested to merge
martindl/athena:24.0_TrigEgammaHypo into 24.0

Hello,

This MR is just dropping unused header includes. It was primarily triggered by a false positive, #include "AthenaBaseComps/AthAlgorithm.h".

Cheers, Bertrand

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