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I want to configure the Functions Application with either the primary or secondary key from the Cosmos DB account

You can set web app (function app) settings as a separate resource which would go the last in your program.

Thanks! So first the function app, then Cosmos DB and lastly the function app configuration as a separate resource. Is this the "standard" way of handling similar situations in Pulumi? Configuration of a resource can either be set when the actual resource is declared, or as a separate "child" resource?

I can’t say if it’s standard… Our current model in azure-native maps ARM resources 1:1 so it’s up to the Azure service teams how they design resource models.

So there is not a built-in mechanism in Pulumi that can handle situations where the creation of resource 1 is dependent on outputs from resource 2, which in turn is dependent on outputs from resource 1?

No

OK, thanks!