Abstract NewInference & related from KotlinType

Cleanup TypeConstructors & KotlinTypes in VariableFixationFinder
Cleanup TypeConstructors & KotlinTypes in TypeVariableDirectionCalculator
Cleanup KotlinTypes in TypeCheckerContext for ConstraintSystem
Cleanup KotlinTypes in NewCommonSuperTypeCalculator
Cleanup KotlinTypes in TypeApproximator
Cleanup type substitution
Cleanup NewTypeVariable
Cleanup StubType
Cleanup TypeCheckerContext creation, extract common supertype context
Provide TypeSystemInferenceExtensionContext via dependency injection

compiler/fir/resolve/src/org/jetbrains/kotlin/fir/types/ConeTypeContext.kt

@@ -333,6 +333,23 @@ interface ConeTypeContext : TypeSystemContext, TypeSystemOptimizationContext {
                 symbol is FirTypeParameterSymbol
     }
 
+    override fun intersectTypes(types: List<KotlinTypeMarker>): KotlinTypeMarker {
+        TODO("not implemented")
+    }
+
+    override fun intersectTypes(types: List<SimpleTypeMarker>): SimpleTypeMarker {
+        TODO("not implemented")
+    }
+
+    override fun prepareType(type: KotlinTypeMarker): KotlinTypeMarker {
+        TODO("not implemented")
+    }
+
+    override fun SimpleTypeMarker.isStubType(): Boolean {
+        TODO("not implemented")
+    }
+
+
 
 }
 
@@ -359,4 +376,8 @@ class ConeTypeCheckerContext(override val isErrorTypeEqualsToAnything: Boolean,
         get() = false
 
 
+    override fun prepareType(type: KotlinTypeMarker): KotlinTypeMarker {
+        return super<ConeTypeContext>.prepareType(type)
+    }
+
 }