Connect with CoinbaseWallet sometime as coinbaseWalletSDK, but sometime com.coinbase.wallet

[timeturnback]

My app when connect with Coinbase wallet as coinbaseWalletSDK.
Wallet info will be

{
  "name": "coinbaseWalletSDK",
  "type": "EXTERNAL"
}

App reload when disconnect

Coinbase Wallet wont show as INSTALLED (I have its extenstion on browser)

Also with fork branch of AppKit in Next.js + wagmi: https://github.com/reown-com/appkit-web-examples
it will be

{
  "name": "Coinbase Wallet",
  "icon": "data:image/svg+xml;base64,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",
  "rdns": "com.coinbase.wallet",
  "type": "INJECTED"
}

I use those version for both project

    "@reown/appkit": "^1.7.0",
    "@reown/appkit-adapter-wagmi": "^1.7.0",
    "viem": "^2.23.13",
    "wagmi": "^2.14.15",
    "@tanstack/react-query": "^5.69.0",