I changed settings to get the packaging to package the correct map.

Config/DefaultEngine.ini

@@ -61,14 +61,14 @@
 +CollisionChannelRedirects=(OldName="PawnMovement",NewName="Pawn")
 
 [/Script/EngineSettings.GameMapsSettings]
-EditorStartupMap=/Game/FirstPerson/Maps/FirstPersonMap.FirstPersonMap
+EditorStartupMap=/Game/FirstPerson/Maps/Level1.Level1
 LocalMapOptions=
 TransitionMap=
 bUseSplitscreen=True
 TwoPlayerSplitscreenLayout=Horizontal
 ThreePlayerSplitscreenLayout=FavorTop
 GameInstanceClass=/Script/Engine.GameInstance
-GameDefaultMap=/Game/FirstPerson/Maps/FirstPersonMap.FirstPersonMap
+GameDefaultMap=/Game/FirstPerson/Maps/Level1.Level1
 ServerDefaultMap=/Game/FirstPerson/Maps/Level1.Level1
 GlobalDefaultGameMode=/Game/FirstPerson/Blueprints/BP_FirstPersonGameMode.BP_FirstPersonGameMode_C
 GlobalDefaultServerGameMode=None

Config/DefaultGame.ini

@@ -4,11 +4,11 @@ ProjectName=First Person BP Game Template
 
 [/Script/UnrealEd.ProjectPackagingSettings]
 Build=IfProjectHasCode
-BuildConfiguration=PPBC_Development
+BuildConfiguration=PPBC_Shipping
 BuildTarget=
-FullRebuild=False
-ForDistribution=False
-IncludeDebugFiles=False
+FullRebuild=True
+ForDistribution=True
+IncludeDebugFiles=True
 BlueprintNativizationMethod=Disabled
 bIncludeNativizedAssetsInProjectGeneration=False
 bExcludeMonolithicEngineHeadersInNativizedCode=False
@@ -91,4 +91,5 @@ bSkipMovies=False
 +IniSectionDenylist=HordeStorageServers
 +IniSectionDenylist=StorageServers
 +MapsToCook=(FilePath="/Game/FirstPerson/Maps/Level1")
++DirectoriesToAlwaysCook=(Path="/Game/FirstPerson/AI")