build: package the kitchen CLI as a Nix flake (task 0001)

Add a flake-parts flake whose default package Bun-compiles the kitchen
CLI into a self-contained native binary, built in the sandbox with
dependencies vendored by bun2nix.

Bun is pinned via a dedicated nixpkgs-bun input (Bun 1.3.13) that
bun2nix follows, so nixpkgs can track unstable without moving the
compile toolchain onto a release that emits empty binaries.

bun2nix is both a flake input and an npm devDependency, and a
postinstall hook keeps the checked-in bun.nix in sync with the lockfile.

bun.lock

@@ -7,6 +7,7 @@
       "devDependencies": {
         "@biomejs/biome": "^2.5.3",
         "bun-types": "latest",
+        "bun2nix": "^2.1.2",
       },
     },
     "packages/bin": {
@@ -51,6 +52,12 @@
 
     "bun-types": ["bun-types@1.3.14", "", { "dependencies": { "@types/node": "*" } }, "sha512-4N0ig0fEomHt5R0KCFWjovxow98rIoRwKolrYdCcknNwMekCXRnWEUvgu5soYV8QXtVsrUD8B95MBOZGPvr6KQ=="],
 
+    "bun2nix": ["bun2nix@2.1.2", "", { "dependencies": { "sade": "^1.8.1" }, "bin": { "bun2nix": "index.ts" } }, "sha512-0wx6Ar5ccrz4aSD5prbShwymjDEXFh7Bucxs+YrpAMa67TnVB95Hv8FV3oaQEbtOx6QGgIAyOmap6Y3WCRqetg=="],
+
+    "mri": ["mri@1.2.0", "", {}, "sha512-tzzskb3bG8LvYGFF/mDTpq3jpI6Q9wc3LEmBaghu+DdCssd1FakN7Bc0hVNmEyGq1bq3RgfkCb3cmQLpNPOroA=="],
+
+    "sade": ["sade@1.8.1", "", { "dependencies": { "mri": "^1.1.0" } }, "sha512-xal3CZX1Xlo/k4ApwCFrHVACi9fBqJ7V+mwhBsuf/1IOKbBy098Fex+Wa/5QMubw09pSZ/u8EY8PWgevJsXp1A=="],
+
     "undici-types": ["undici-types@8.3.0", "", {}, "sha512-j375ScV60dom+YkPFIfTLcOiPxkN/buHz5GobjLhixFuANaNs3C9l4GmrWqejgXWJ7BbJcFYpTEUkS1Ge8bpZQ=="],
   }
 }