Jay Harry and Matt Wood each drove in two runs to seal Penn State's victory.
Brooks will join fellow Nittany Lions Adrian Amos and Rasheed Walker in Green Bay after going undrafted in the 2022 NFL Draft.
Wilson will join former Penn State wide receiver Juwan Johnson in Louisiana.
Charles, who played three seasons at Penn State before later transferring to IUP, is signing as an undrafted free agent.
The Nittany Lions won game three in walk-off fashion.
Tangelo is the second Nittany Lion to get picked up by the Falcons this draft season, joining Arnold Ebiketie.