Move react-dom implementation files to react-dom-bindings (#25345)

This lets us share it with react-server-dom-webpack while still having a
dependency on react-dom. It also makes somewhat sense from a bundling
perspective since react-dom is an external to itself.

Author: sebmarkbage

packages/react-dom-bindings/package.json

@@ -0,0 +1,23 @@
+{
+  "name": "react-dom-bindings",
+  "description": "React implementation details for react-dom.",
+  "version": "18.2.0",
+  "private": true,
+  "main": "index.js",
+  "repository": {
+    "type": "git",
+    "url": "https://github.com/facebook/react.git",
+    "directory": "packages/react-dom-bindings"
+  },
+  "keywords": [
+    "react"
+  ],
+  "license": "MIT",
+  "bugs": {
+    "url": "https://github.com/facebook/react/issues"
+  },
+  "homepage": "https://reactjs.org/",
+  "peerDependencies": {
+    "react": "^18.2.0"
+  }
+}