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Hey Guys,
If I am consuming output values from my current stack in a project, how would this behave when I am redeploying this to a brand new environment where the output will be only created during the same execution?
Will pulumi wait for that output to be available and use that or will it fail?

It will fail if you use `require...` and return `undefined` if you use `get...`.

How would we approach this though if we need output of one resource to create another?

You use the outputs of the resources, not of the stack.

So if you want to output a bucket name from a stack, and use that bucket name in another resource, don't use the exported variable, use the bucket name directly.