app-server: add v2 filesystem APIs

Add the v2 app-server protocol and implementation for filesystem reads, writes, directory operations, metadata, copying, and removal. This also updates the schema fixtures, app-server documentation, and the v2 integration coverage for the filesystem API surface.

codex-rs/app-server-protocol/schema/json/v2/FsRemoveParams.json

@@ -0,0 +1,39 @@
+{
+  "$schema": "http://json-schema.org/draft-07/schema#",
+  "definitions": {
+    "AbsolutePathBuf": {
+      "description": "A path that is guaranteed to be absolute and normalized (though it is not guaranteed to be canonicalized or exist on the filesystem).\n\nIMPORTANT: When deserializing an `AbsolutePathBuf`, a base path must be set using [AbsolutePathBufGuard::new]. If no base path is set, the deserialization will fail unless the path being deserialized is already absolute.",
+      "type": "string"
+    }
+  },
+  "description": "Remove a file or directory tree from the host filesystem.",
+  "properties": {
+    "force": {
+      "description": "Whether missing paths should be ignored. Defaults to `true`.",
+      "type": [
+        "boolean",
+        "null"
+      ]
+    },
+    "path": {
+      "allOf": [
+        {
+          "$ref": "#/definitions/AbsolutePathBuf"
+        }
+      ],
+      "description": "Absolute path to remove."
+    },
+    "recursive": {
+      "description": "Whether directory removal should recurse. Defaults to `true`.",
+      "type": [
+        "boolean",
+        "null"
+      ]
+    }
+  },
+  "required": [
+    "path"
+  ],
+  "title": "FsRemoveParams",
+  "type": "object"
+}