Hello @BLAISESEBAGABO-1109,
From the Debug logs seen in the screenshot above, it appears that you have not configured your Application to pump telemetry to an Application Insights resource on Azure, i.e., you have configured it in local-only mode.
Doing so just adds the Application Insights SDK to your app but doesn't configure it to send telemetry to the App Insights resource in the portal. Therefore, you will be able to see telemetry only in Visual Studio while you are debugging.
Now, you can return to this configuration page (Project > Application Insights > Configure Application Insights...) and complete configuration, or you could wait until after you have deployed your app and switch on telemetry at run time.
Please check and reach out in case you run into issues or have further questions.