v2/internal/proxy: TestRunConnectionCheck failed

[flaky-bot]

Note: #2233 was also for this test, but it was closed more than 10 days ago. So, I didn't mark it flaky.

---

commit: db8644c
buildURL: https://github.com/GoogleCloudPlatform/cloud-sql-proxy/actions/runs/21656731730
status: failed

[flaky-bot]

Looks like this issue is flaky. 😟

I'm going to leave this open and stop commenting.

A human should fix and close this.

---

When run at the same commit (db8644c), this test passed in one build (https://github.com/GoogleCloudPlatform/cloud-sql-proxy/actions/runs/21697122026) and failed in another build (https://github.com/GoogleCloudPlatform/cloud-sql-proxy/actions/runs/21656731730).

[flaky-bot]

Looks like this issue is flaky. 😟

I'm going to leave this open and stop commenting.

A human should fix and close this.

---

When run at the same commit (db8644c), this test passed in one build (https://github.com/GoogleCloudPlatform/cloud-sql-proxy/actions/runs/21697122026) and failed in another build (https://github.com/GoogleCloudPlatform/cloud-sql-proxy/actions/runs/21656731730).