[DependencyManager] Possible deadlock reading stdout and stderr

[jonsequitur]

Please provide a succinct description of the issue.

The pattern for consuming stdout and stderr from a child process could lead to a deadlock here:

fsharp/src/fsharp/FSharp.DependencyManager.Nuget/FSharp.DependencyManager.Utilities.fs

Lines 184 to 185 in 02fbde6

	let stdOut = drainStreamToMemory p.StandardOutput
	let stdErr = drainStreamToMemory p.StandardError

Provide the steps required to reproduce the problem:

Conditions that can lead to a deadlock are documented here: https://docs.microsoft.com/en-us/dotnet/api/system.diagnostics.process.standardoutput?view=net-5.0#remarks

It's possible that this is implicated in frequent deadlocks we've been seeing in the .NET Interactive CI pipeline but they're not reproducible elsewhere, so I'm speculating.