Regex or Javascript expert

If we have a sentence such as :

Greetings dear {{name}}, hope the {{service}} is to your liking etc etc {{.....}}
The object consists of 2 curlys on either side with text in the middle as shown.

What we need to do is if anyone of the curlys is deleted for an object (using backspace, delete etc),then the whole object i.e. the associated curlys and the text, the whole thing : {{name}} will be deleted. i.e the desired output will an emoty string.

We have looked at several regex constructs such as :

s.replace(/\s?\{+[^}]+\}+/g, '');
But they do not do what we need. Any assistance would be greatly appreciated.