chore(deps): bump react-dom and @types/react-dom

Bumps [react-dom](https://github.com/facebook/react/tree/HEAD/packages/react-dom) and [@types/react-dom](https://github.com/DefinitelyTyped/DefinitelyTyped/tree/HEAD/types/react-dom). These dependencies needed to be updated together.

Updates `react-dom` from 19.1.0 to 19.1.1
- [Release notes](https://github.com/facebook/react/releases)
- [Changelog](https://github.com/facebook/react/blob/main/CHANGELOG.md)
- [Commits](https://github.com/facebook/react/commits/v19.1.1/packages/react-dom)

Updates `@types/react-dom` from 19.1.5 to 19.1.9
- [Release notes](https://github.com/DefinitelyTyped/DefinitelyTyped/releases)
- [Commits](https://github.com/DefinitelyTyped/DefinitelyTyped/commits/HEAD/types/react-dom)

---
updated-dependencies:
- dependency-name: react-dom
  dependency-version: 19.1.1
  dependency-type: direct:production
  update-type: version-update:semver-patch
- dependency-name: "@types/react-dom"
  dependency-version: 19.1.9
  dependency-type: direct:development
  update-type: version-update:semver-patch
...

Signed-off-by: dependabot[bot] <[email protected]>

Author: dependabot[bot]

e2e/nextjs-app/package.json

@@ -15,7 +15,7 @@
     "@axiomhq/winston": "workspace:*",
     "next": "15.5.2",
     "react": "19.1.0",
-    "react-dom": "19.1.0",
+    "react-dom": "19.1.1",
     "winston-transport": "^4.5.0"
   },
   "devDependencies": {

examples/nextjs/package.json

@@ -15,13 +15,13 @@
     "@axiomhq/react": "workspace:*",
     "next": "15.5.2",
     "react": "19.1.0",
-    "react-dom": "19.1.0"
+    "react-dom": "19.1.1"
   },
   "devDependencies": {
     "@eslint/eslintrc": "^3",
     "@types/node": "^20",
     "@types/react": "19.1.5",
-    "@types/react-dom": "19.1.5",
+    "@types/react-dom": "19.1.9",
     "eslint": "^9",
     "eslint-config-next": "15.3.2",
     "postcss": "^8",

packages/react/package.json

@@ -65,11 +65,11 @@
     "@testing-library/react": "^16.2.0",
     "@testing-library/react-hooks": "^8.0.1",
     "@types/react": "^19.1.5",
-    "@types/react-dom": "^19.1.5",
+    "@types/react-dom": "^19.1.9",
     "@vitejs/plugin-react": "^4.3.4",
     "happy-dom": "^16.7.3",
     "react": "^19.1.0",
-    "react-dom": "^19.1.0",
+    "react-dom": "^19.1.1",
     "vite": "^5.2.14",
     "vitest": "^0.34.6"
   },