Update to Zig 0.16.0-dev.2637 new IO API

Replace removed std.fs.File/deprecatedWriter with std.Io.File.stdout()
and std.process.Init-based main. Replace std.Thread.sleep with io.sleep.
Fix sleep duration from 16us to 16ms for proper ~60fps timing.

Co-Authored-By: Claude Opus 4.6 <[e-mail]>

.agent-trace/traces.jsonl

···
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main.zig

···
     }
 }
 
-fn putchar(c: u8) !void {
-    const stdout = std.fs.File.stdin().deprecatedWriter();
-    try stdout.writeByte(c);
-}
+pub fn main(init: std.process.Init) !void {
+    const io = init.io;
+    var write_buf: [4096]u8 = undefined;
+    var file_writer = std.Io.File.stdout().writerStreaming(io, &write_buf);
+    const stdout = &file_writer.interface;
 
-pub fn main() !void {
-    const stdout = std.fs.File.stdin().deprecatedWriter();
     try stdout.writeAll("\x1b[J");
     try stdout.writeAll("\x1b[?25l");
+    try stdout.flush();
     while (true) {
         for (&buffer) |*b| b.* = ' ';
         for (&zBuffer) |*z| z.* = 0;
···
         try stdout.writeAll("\x1b[H");
         for (buffer, 0..) |ch, i| {
             if (i % screen_width == 0 and i != 0)
-                try putchar('\n');
-            try putchar(ch);
+                try stdout.writeByte('\n');
+            try stdout.writeByte(ch);
         }
+        try stdout.flush();
 
         A += 0.04;
         B += 0.02;
         C += 0.01;
-        std.Thread.sleep(16000);
+        try io.sleep(.fromNanoseconds(16_000_000), .real);
     }
 }