chore(csharp): Bump Apache.Arrow.Flight from 20.0.0 to 22.1.0 (#3629)

Updated [Apache.Arrow.Flight](https://github.com/apache/arrow) from
20.0.0 to 22.1.0.

<details>
<summary>Release notes</summary>

_Sourced from [Apache.Arrow.Flight's
releases](https://github.com/apache/arrow/releases)._

## 22.0.0

Release Notes URL: https://arrow.apache.org/release/22.0.0.html

## 22.0.0-rc1

Release Notes: Release Candidate: 22.0.0 RC1

## 22.0.0-rc0

Release Notes: Release Candidate: 22.0.0 RC0

## 21.0.0

Release Notes URL: https://arrow.apache.org/release/21.0.0.html

## 21.0.0-rc6

Release Notes: Release Candidate: 21.0.0 RC6

## 21.0.0-rc5

Release Notes: Release Candidate: 21.0.0 RC5

## 21.0.0-rc4

Release Notes: Release Candidate: 21.0.0 RC4

## 21.0.0-rc3

Release Notes: Release Candidate: 21.0.0 RC3

## 21.0.0-rc2

Release Notes: Release Candidate: 21.0.0 RC2

Commits viewable in [compare
view](https://github.com/apache/arrow/commits).
</details>

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Signed-off-by: dependabot[bot] <[email protected]>
Co-authored-by: dependabot[bot] <49699333+dependabot[bot]@users.noreply.github.com>

Author: dependabot[bot]

csharp/Directory.Packages.props

@@ -26,7 +26,7 @@
     <PackageVersion Include="Apache.Arrow.Adbc.Drivers.BigQuery" Version="[$(Version)]" />
     <PackageVersion Include="Apache.Arrow.Adbc.Drivers.Interop.FlightSql" Version="[$(Version)]" />
     <PackageVersion Include="Apache.Arrow.Adbc.Drivers.Interop.Snowflake" Version="[$(Version)]" />
-    <PackageVersion Include="Apache.Arrow.Flight" Version="20.0.0" />
+    <PackageVersion Include="Apache.Arrow.Flight" Version="22.1.0" />
     <PackageVersion Include="ApacheThrift" Version="0.22.0" />
     <PackageVersion Include="Azure.Identity" Version="1.14.2" />
     <PackageVersion Include="BenchmarkDotNet" Version="0.15.4" />