style: auto-format example files with lux fmt

Co-Authored-By: Claude Opus 4.6 <noreply@anthropic.com>

examples/factorial.lux

@@ -1,16 +1,7 @@
-// Factorial function demonstrating recursion
-//
-// Expected output: 10! = 3628800
+fn factorial(n: Int): Int = if n <= 1 then 1 else n * factorial(n - 1)
 
-fn factorial(n: Int): Int =
-    if n <= 1 then 1
-    else n * factorial(n - 1)
-
-// Calculate factorial of 10
 let result = factorial(10)
 
-// Print result using Console effect
-fn showResult(): Unit with {Console} =
-    Console.print("10! = " + toString(result))
+fn showResult(): Unit with {Console} = Console.print("10! = " + toString(result))
 
 let output = run showResult() with {}