feat: support WC v2 for lit-connect-modal

apps/demo-lit-connect-modal-next/.eslintrc.json

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+{
+  "extends": "next/core-web-vitals"
+}

apps/demo-lit-connect-modal-next/.gitignore

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+# See https://help.github.com/articles/ignoring-files/ for more about ignoring files.
+
+# dependencies
+/node_modules
+/.pnp
+.pnp.js
+
+# testing
+/coverage
+
+# next.js
+/.next/
+/out/
+
+# production
+/build
+
+# misc
+.DS_Store
+*.pem
+
+# debug
+npm-debug.log*
+yarn-debug.log*
+yarn-error.log*
+
+# local env files
+.env*.local
+
+# vercel
+.vercel
+
+# typescript
+*.tsbuildinfo
+next-env.d.ts

apps/demo-lit-connect-modal-next/README.md

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+# `checkAndSignAuthMessage` Example ✍️
+
+This is an example web app that shows how you can easily obtain an `AuthSig` using the `checkAndSignAuthMessage` function.
+
+When the function is called, it prompts a wallet selection pop-up in the user's browser. Once the user's wallet is connected, the user is asked to sign a message, thereby confirming the ownership of their crypto address. The `AuthSig`` is then generated, which includes the signature of the user's signed message.
+
+## 💻 Getting Started
+
+First, run the development server:
+
+```bash
+npm run dev
+# or
+yarn dev
+# or
+pnpm dev
+```
+
+Open [http://localhost:3000](http://localhost:3000) with your browser to see the result.

apps/demo-lit-connect-modal-next/jsconfig.json

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+{
+  "compilerOptions": {
+    "paths": {
+      "@/*": ["./src/*"]
+    }
+  }
+}

apps/demo-lit-connect-modal-next/next.config.js

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+/** @type {import('next').NextConfig} */
+const nextConfig = {}
+
+module.exports = nextConfig