Disconnected From Server Message for Deployed Shiny App (SQL Communication Failure)

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I have a Shiny app hosted on Posit Connect and connected to an Azure SQL Server database. The app "works" for a little bit and then once a swarm of users tries to access it the entire app becomes disconnected from the server. When I check the Posit Logs I get this error message basically all over the log:

Warning: Error in eval: nanodbc/nanodbc.cpp:4616: 00000: [Microsoft][ODBC Driver 17 for SQL Server]Communication link failure

The app works just fine locally. I do not see any coding errors in the logs, just the communication link failure. Has anyone dealt with this before?