My Facebook page does not appear

Hello! I have unsuccessfully trying to set up the Facebook Chat Live plug-in on my website page. I have also done all the required Chat Plugin setting on my Facebook Page in Meta Business Suite. The Facebook Page I want to link to my website is: https://www.facebook.com/ivaz.ro/

The constant issue I get is that in WP the plug-in does not see the Facebook Page to be able to select it (but only a completely different one that I am not interested in for this).

Please advice further for a proper configuration and running. Thank you.

The page I need help with: [log in to see the link]