Import DB tests are flaky

Seems like the import/export tests are flaky, we've seen multiple jobs fail because of it.

One example is this one: https://github.com/0xMiden/miden-client/actions/runs/17219728039/job/48852013449

Look for import/export tests in the codebase, likely in a test directory. The failing job link provides a specific run to examine logs for error patterns. Investigate what makes these tests flaky—race conditions, timing issues, or state leakage—and run them locally to reproduce.

Written by the indexing model from the issue text.