Always verify and update app connection strings

[MicroFish91]

Closes #4843

This diff is wild. I only made two small changes. My guess is that since I wrapped the logic in an if block, all the inner logic needed to be indented, and so it's registering as me changing all these lines when I really didn't change the logic much at all.

My changes were:

1. I pulled out appSettings.properties into its own parent if-block
2. I moved the two line logic below up one level so that it always executes regardless of if it is a flex consumption app:

const updatedRemoteConnection: boolean = await verifyAndUpdateAppConnectionStrings(context, durableStorageType, appSettings.properties);
updateAppSettings ||= updatedRemoteConnection;