I figured it out. I needed to clear the array value in the FormControl first, before add the array back into the control.
this.attachmentList = [];
this.attachmentList = this.editData.get('attachmentList').value;
this.attachmentList.push(title);
this.editData.get('attachmentList').setValue([]);
this.editData.get('attachmentList').setValue(this.attachmentList);