Hello @Benjamin Le
Deployment of TypeScript app to App Service does not have a significant difference comparing to NodeJS or JS app.
Here are some examples of TypeScript deployment to Azure App Service
https://learn.microsoft.com/en-us/visualstudio/javascript/publish-nodejs-app-azure?view=vs-2022
Here are some code samples compatible with Azure App Service
https://learn.microsoft.com/en-us/samples/azure/azure-sdk-for-js/app-configuration-typescript/