Partytown doesn't work with Chatwoot

[frndtors]

Describe the bug

https://github.com/productdevbookcom/chatwoot/assets/102629955/977063a1-eec6-4fb9-a7bd-b9f80daa78b0

I think the problem is in Iframe

Nuxt 3

// https://nuxt.com/docs/api/configuration/nuxt-config
export default defineNuxtConfig({
  devtools: { enabled: true },
  modules: [
    "nuxt-purgecss",
    "@nuxt/image",
    "@nuxtjs/partytown",
    "@productdevbook/chatwoot",
  ],
  partytown: {
    debug: true,
    forward: [
      "chatwootSDK.run",
      "chatwootSDK.run",

      "$chatwoot.toggle",
      "$chatwoot.toggle",

      "$chatwoot.isOpen",
      "$chatwoot.isOpen",

      "$chatwoot.websiteToken",
      "$chatwoot.websiteToken",
    ],
  },

.....

  chatwoot: {
    init: {
      websiteToken: "exampleToken",
      baseUrl: "https://chat.hostname.com",
    },
    // If this is loaded you can make it true, https://github.com/nuxt-modules/partytown
    partytown: true,
  },
});

Reproduction

N/A

System Info

nuxt 3

Used Package Manager

yarn

Validations

• [X] Follow our Code of Conduct
• [X] Read the Contributing Guide.
• [X] Check that there isn't already an issue that reports the same bug to avoid creating a duplicate.
• [X] Check that this is a concrete bug. For Q&A, please open a GitHub Discussion instead.
• [X] The provided reproduction is a minimal reproducible of the bug.

[productdevbook]

cc: https://github.com/chatwoot/chatwoot/issues/5295