[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

首先查看不稳定的 Flight 测试报告以及 Apache Arrow PR 43551 中链接的讨论。确定保留资源的 Flight 测试服务器，并确定应如何协调优雅关闭。完成的标准是服务器能够可靠地释放资源，并且报告的测试不稳定问题得到解决。

由索引模型根据 Issue 内容生成。