basalt-26.3.2-rc-20260908: pkg/server/storage_api/storage_api_test: TestLivenessAPI failed

pkg/server/storage_api/storage_api_test.TestLivenessAPI [failed](https://mesolite.cluster.engflow.com/invocations/default/3e6250f1-ec23-4556-b888-ca3350756d3b?testReportRun=3&testReportShard=1&testReportAttempt=1#targets-Ly9wa2cvc2VydmVyL3N0b3JhZ2VfYXBpOnN0b3JhZ2VfYXBpX3Rlc3Q=) on basalt-26.3.2-rc-20260908 @ [807558e5e81666af257c811e925e4cae570abc28](https://github.com/cockroachdb/cockroach/commits/807558e5e81666af257c811e925e4cae570abc28):

```
=== RUN TestLivenessAPI
test_log_scope.go:172: test logs captured to: outputs.zip/logTestLivenessAPI1315394540
test_log_scope.go:82: use -show-logs to present logs inline
test_server_shim.go:168: automatically injected a shared process virtual cluster under test; see comment at top of test_server_shim.go for details.
```

Parameters:
- attempt=1
- race=true
- run=3
- shard=1
Help

See also: [How To Investigate a Go Test Failure \(internal\)](https://cockroachlabs.atlassian.net/l/c/HgfXfJgM)

/cc @cockroachlabs/obs-prs

[This test on roachdash](https://roachdash.crdb.dev/?filter=status:open%20t:.*TestLivenessAPI.*&sort=title+created&display=lastcommented+project) | [Improve this report!](https://github.com/cockroachdb/cockroach/tree/master/pkg/cmd/bazci/githubpost/issues)

Start with pkg/server/storage_api/storage_api_test.TestLivenessAPI and inspect the linked test report plus the captured outputs.zip logs. Read the comment at the top of test_server_shim.go to understand the injected virtual cluster, then reproduce with race=true, run=3, and shard=1. Done means the liveness test passes under the reported configuration.

Written by the indexing model from the issue text.