Migrate the Carpet codebase to Mojang Mappings

src/main/resources/carpet.accesswidener

@@ -1,7 +1,7 @@
 accessWidener	v1	named
 
-accessible class net/minecraft/server/world/ThreadedAnvilChunkStorage$TicketManager
-accessible class net/minecraft/server/world/ServerLightingProvider$Stage
-accessible class net/minecraft/recipe/Ingredient$Entry
-accessible class net/minecraft/world/chunk/light/BlockLightStorage$Data
-accessible class net/minecraft/world/gen/NoiseColumnSampler$CaveScaler
+accessible class net/minecraft/server/level/ChunkMap$DistanceManager
+accessible class net/minecraft/server/level/ThreadedLevelLightEngine$TaskType
+accessible class net/minecraft/world/item/crafting/Ingredient$Value
+accessible class net/minecraft/world/level/lighting/BlockLightSectionStorage$BlockDataLayerStorageMap
+accessible class net/minecraft/world/level/levelgen/NoiseSampler$QuantizedSpaghettiRarity

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",