Trigger a Netlify Webhook

DeployToNetlify.js

function onOpen() {
  SpreadsheetApp.getUi()
    .createMenu('Site')
    .addItem('Deploy to Netlify', 'callNetlifyToDeploy')
    .addToUi()
}

function callNetlifyToDeploy() {
  var data = {}

  var options = {
    method: 'post',
    contentType: 'application/json',
    payload: JSON.stringify(data),
  }

  UrlFetchApp.fetch(
    'https://api.netlify.com/build_hooks/XXXXXXX',
    options
  )
}