Adopt mise for development workflows

- Lock Python and uv versions with mise
- Add unified sync, app, test, lint, format, and typecheck tasks
- Update development documentation and strengthen type handling

uv.lock

@@ -1,5 +1,5 @@
 version = 1
-revision = 2
+revision = 3
 requires-python = ">=3.13"
 
 [[package]]
@@ -16,18 +16,26 @@ name = "hosts"
 version = "0.1.0"
 source = { editable = "." }
 dependencies = [
-    { name = "pytest" },
-    { name = "pytest-asyncio" },
-    { name = "ruff" },
     { name = "textual" },
 ]
 
+[package.dev-dependencies]
+dev = [
+    { name = "pytest" },
+    { name = "pytest-asyncio" },
+    { name = "ruff" },
+    { name = "ty" },
+]
+
 [package.metadata]
-requires-dist = [
+requires-dist = [{ name = "textual", specifier = ">=5.0.1" }]
+
+[package.metadata.requires-dev]
+dev = [
     { name = "pytest", specifier = ">=8.4.1" },
     { name = "pytest-asyncio", specifier = ">=0.21.0" },
     { name = "ruff", specifier = ">=0.12.5" },
-    { name = "textual", specifier = ">=5.0.1" },
+    { name = "ty", specifier = ">=0.0.78" },
 ]
 
 [[package]]
@@ -210,6 +218,31 @@ wheels = [
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 ]
 
+[[package]]
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+
 [[package]]
 name = "typing-extensions"
 version = "4.14.1"