If you are seeing errors under /admin/Msystem_notifications regarding Paya Connect Desktop (Sage Exchange Desktop) Client Not Running, here are the steps to get that running again.
Open Symphony Client on the server and ensure that the "Enable Paya Integration" box is ticked under the "Sage 300" tab.
Then stop the service and wait about a minute. Afterwards, restart the service. You can also review this guide on different ways to restart the Symphony Client service: https://support.commercebuild.com/article/how-to-restart-the-symphony-client-service/
Once restarted, you can remove all system notifications: /admin/msystem_notifications/index
Finally, submit a test order using dummy card # 4242424242424242. Paya should reject the payment, as it's not a valid credit card. To confirm that Paya successfully rejected the payment, you should check the system notifications again: /admin/msystem_notifications/index . The expectation is that you will not see any new errors about Paya not running.