fix: don't hide async exceptions in logs

Fixes #4646. Using the repro on #4646, this now produces the log:

```
11/Feb/2026:09:40:08 -0500: Warp server error: stack overflow
```

When:
```
$ curl localhost:3000/
curl: (52) Empty reply from server
```

(cherry picked from commit e95e815483)

test/io/test_big_schema.py

@@ -3,6 +3,7 @@
 import re
 
 import pytest
+import requests
 
 from postgrest import run
 
@@ -54,6 +55,25 @@ def test_openapi_in_big_schema(defaultenv):
         assert response.status_code == 200
 
 
+def test_stackoverflow_is_logged(defaultenv):
+    "Stack overflow errors should be logged with the Warp error message"
+
+    env = {
+        **defaultenv,
+        "PGRST_DB_SCHEMAS": "apflora",
+        "PGRST_DB_ANON_ROLE": "postgrest_test_anonymous",
+    }
+
+    with run(env=env, wait_max_seconds=30, no_startup_stdout=False) as postgrest:
+        with pytest.raises(requests.exceptions.ConnectionError):
+            postgrest.session.get("/")
+
+        output = postgrest.read_stdout(nlines=10)
+        output.extend(postgrest.read_stdout(nlines=10))
+
+        assert any("Warp server error: stack overflow" in line for line in output)
+
+
 # See: https://github.com/PostgREST/postgrest/issues/3329
 def test_should_not_fail_with_stack_overflow(defaultenv):
     "requesting a non-existent relationship should not fail with stack overflow due to fuzzy search of candidates"