jQuery, ajaxSetup, error and fail both executing

I have the following ajaxSetup configuration:

$.ajaxSetup({
                type: 'GET',
                headers: headers,
                error: function (data, par1, par2) {
                       //Error handling code here
                    }
            });

One of the members of my team wanted to handle errors in a different way in his ajax call

$.ajax({
                url: url,
            }).done(function (result) {
                //Success code here
            }).fail(function (e) {
                //Error handling code here
            });

The problem is that the error is getting handled in both sides, error (from ajaxSetup) and fail

To avoid double handling we add an empty Error function, like this

$.ajax({
                url: url,
                error: function () {},
                }).done(function (result) {
                    //Success code here
                }).fail(function (e) {
                    //Error handling code here
                });

But it seems a bit dirty, for my mind one of them should be executed not both, so my question is how should I configure my ajaxSetup in order to avoid this "issue"?