Tieghtsuite have the option to send this invoice to a customer who is related. Also, the PDF invoice will be attached to the email. If you want to, do not attach the PDF invoice simple uncheck the checkbox Attach Invoice PDF
After sending the invoice to the customer if you want to send again the invoice there will be another email content. Because the initial invoice is already sent. Now the customer maybe wants the invoice again and in all cases this content will be different. Go to Setup-> Email Templates -> Invoice Already Send to Client to edit the email content when sending the invoice to your customer for second time.