Set legal default ball for bdsp bred egg templates

PKHeX.Core/Legality/Encounters/EncounterMisc/EncounterEgg.cs

@@ -34,7 +34,7 @@ public PKM ConvertToPKM(ITrainerInfo sav, EncounterCriteria criteria)
             pk.Nickname = SpeciesName.GetSpeciesNameGeneration(Species, lang, gen);
             pk.CurrentLevel = Level;
             pk.Version = (int)version;
-            pk.Ball = (int)Ball.Poke;
+            pk.Ball = (int)BallBreedLegality.GetDefaultBall(Version, Species);
             pk.OT_Friendship = pk.PersonalInfo.BaseFriendship;
 
             SetEncounterMoves(pk, version);

PKHeX.Core/Legality/Verifiers/Ball/BallBreedLegality.cs

@@ -1037,5 +1037,23 @@ internal static class BallBreedLegality
 
             (int)Phione,
         };
+
+        /// <summary>
+        /// Gets a legal <see cref="Ball"/> value for a bred egg encounter.
+        /// </summary>
+        /// <param name="version">Version the egg was created on.</param>
+        /// <param name="species">Species the egg contained.</param>
+        /// <returns>Valid ball to hatch with.</returns>
+        /// <remarks>Not all things can hatch with a Poké Ball!</remarks>
+        public static Ball GetDefaultBall(GameVersion version, int species)
+        {
+            if (GameVersion.BDSP.Contains(version))
+            {
+                if (BanInheritedExceptSafari_BDSP.Contains(species))
+                    return Ball.Safari;
+            }
+
+            return Ball.Poke;
+        }
     }
 }