Does the total of emails sent in a day include bounces?

Hello, I would like a clarification: the data I see in the dashboard (daily email usage) is the total number of emails sent, right? If I receive notification emails similar to the one below (bounce notification), are these messages included in that total number?

Thank you

Example of bounce notification:

Reporting-MTA: dns; a7-42.smtp-out.eu-west-1.amazonses.com Action: failed Final-Recipient: rfc822; someone@domain Diagnostic-Code: smtp; 550 5.7.1 Email rejected per SPAM policy Status: 5.7.1