Migrate the Carpet codebase to Mojang Mappings

src/main/resources/carpet.mixins.json

@@ -208,10 +208,10 @@
     "CaveScalerMixin_scarpetMixin",
 
     "BlockEntity_movableBEMixin",
-    "PistonBlock_movableTEMixin",
-    "PistonBlockEntity_movableTEMixin",
-    "World_movableTEMixin",
-    "WorldChunk_movableTEMixin",
+    "PistonBlock_movableBEMixin",
+    "PistonBlockEntity_movableBEMixin",
+    "World_movableBEMixin",
+    "WorldChunk_movableBEMixin",
     "PistonHandler_customStickyMixin",
     "PlayerEntity_creativeNoClipMixin",
     "PistonBlockEntity_playerHandlingMixin",
@@ -232,7 +232,7 @@
     "WorldRenderer_pausedShakeMixin",
     "InGameHudMixin",
     "PlayerListHudMixin",
-    "PistonBlockEntityRenderer_movableTEMixin",
+    "PistonBlockEntityRenderer_movableBEMixin",
     "StructureBlockBlockEntityRenderer_mixin",
     "ClientPlayerEntity_clientCommandMixin",
     "WorldRenderer_fogOffMixin",