[Java] Handle Flight Tests to gracefully shutdown.

### Describe the bug, including details regarding any error messages, version, and platform.

We have been experiencing a few flaky tests in Flight. And recently this was tracked in another PR https://github.com/apache/arrow/pull/43551#issuecomment-2328024081.

The root cause could be the issue discussed here. Shutting down the servers gracefully in order to release resources is necessary to avoid this flakiness in the tests.

### Component(s)

Java

首先查看不穩定的 Flight 測試報告以及 Apache Arrow PR 43551 中連結的討論。找出保留資源的 Flight 測試伺服器，並確定應如何協調正常關閉。完成的標準是伺服器能可靠地釋放資源，且已解決所回報的測試不穩定問題。

由索引模型根據 Issue 內容生成。