How to integrate messenger bot on vue.js based website ?

Hello I am facing a problem for my website is https://jogaan.com For the purpose of integrate of messenger bot to my website I have generated customer chat code from setting of my Facebook page. I successfully created the code and send Email instructions to my web developers. My web developer implement the code and tell me that the code is not working. The reason he shows me that the messenger bot code is javascript and our website is vue.js based. I don’t understand why this is happening and why not it will work.. For better understanding, you may visit my website what I have mentioned earlier. And please give me a solution to install messenger bot on my website successfully.