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GH-44361: [C#][Integration] Include .NET in Flight integration tests (#44377)

### Rationale for this change

See #44361. This allows testing compatibility of the .NET Flight implementation with other Flight implementations.

### What changes are included in this PR?

* Adds a new `Apache.Arrow.Flight.IntegrationTest` project that can run in server or client mode for Flight integration tests.
* Includes the integration tests that send then retrieve data defined in JSON files, but doesn't add any of the named scenarios
* Configures archery to include C# in the Flight integration tests, but skip all the named scenarios
* Also skips tests that use dictionary data due to #38045, and the empty data test due to #44363

### Are these changes tested?

These changes are tests.

### Are there any user-facing changes?

No
* GitHub Issue: #44361

Authored-by: Adam Reeve <adreeve@gmail.com>
Signed-off-by: Curt Hagenlocher <curt@hagenlocher.org>