[LOGS]: logs are unreliable and randomly miss data

### Description

Repeatedly running tests will eventually bring failures.

In this case copied below, a simple `run echo` does successfully print on stdout, but there is nothing in the log file.

```
--- FAIL: TestLogsAfterRestartingContainer (6.44s)
container_logs_test.go:365:

+============================================================================================================+
| 🧽 | "TestLogsAfterRestartingContainer": initial cleanup |
+============================================================================================================+

container_logs_test.go:338:

+------------------------------------------------------------------------------------------------------------+
| ➡️ | ⚙️ /usr/local/bin/nerdctl rm -f testlogsafterrestartingcontainer-a8f1fb79 |
+------------------------------------------------------------------------------------------------------------+
| | 🟠 time="2025-05-12T22:04:21-07:00" level=error msg="1 errors:\nno such container: testlogsafter |
| | restartingcontainer-a8f1fb79" |
+------------------------------------------------------------------------------------------------------------+
| 🌱 | XDG_SESSION_TYPE=tty |
| | HOME=/home/dmp.linux |
| | XDG_SESSION_CLASS=user |
| | XDG_SESSION_ID=2 |
| | XDG_RUNTIME_DIR=/run/user/501 |
| | PATH=/usr/local/go/bin:/usr/local/bin:/usr/bin:/bin:/usr/local/games:/usr/games:/usr/sbin:/sbin: |
| | /usr/sbin:/sbin:/usr/local/go/bin:/home/dmp.linux/go/bin |
| | NERDCTL_TOML=/tmp/TestLogsAfterRestartingContainer4032231042/003/nerdctl.toml |
| | DOCKER_CONFIG=/tmp/TestLogsAfterRestartingContainer4032231042/003 |
+------------------------------------------------------------------------------------------------------------+
| ⏰ | <1s (limit: 3m0s) |
+------------------------------------------------------------------------------------------------------------+
| 📁 | /tmp/TestLogsAfterRestartingContainer4032231042/002 |
+------------------------------------------------------------------------------------------------------------+

container_logs_test.go:365:

+============================================================================================================+
| 🏗 | "TestLogsAfterRestartingContainer": setup |
+============================================================================================================+

container_logs_test.go:332:

+------------------------------------------------------------------------------------------------------------+
| ➡️ | ⚙️ /usr/local/bin/nerdctl run --name testlogsafterrestartingcontainer-a8f1fb79 ghcr.io/stargz-co |
| | ntainers/alpine:3.13-org printf 'Hello World! |
| | There is no newline' |
+------------------------------------------------------------------------------------------------------------+
| | 🟢 'Hello World! |
| | There is no newline' |
+------------------------------------------------------------------------------------------------------------+
| 🌱 | XDG_SESSION_TYPE=tty |
| | HOME=/home/dmp.linux |
| | XDG_SESSION_CLASS=user |
| | XDG_SESSION_ID=2 |
| | XDG_RUNTIME_DIR=/run/user/501 |
| | PATH=/usr/local/go/bin:/usr/local/bin:/usr/bin:/bin:/usr/local/games:/usr/games:/usr/sbin:/sbin: |
| | /usr/sbin:/sbin:/usr/local/go/bin:/home/dmp.linux/go/bin |
| | DOCKER_CONFIG=/tmp/TestLogsAfterRestartingContainer4032231042/003 |
| | NERDCTL_TOML=/tmp/TestLogsAfterRestartingContainer4032231042/003/nerdctl.toml |
+------------------------------------------------------------------------------------------------------------+
| ⏰ | <1s (limit: 3m0s) |
+------------------------------------------------------------------------------------------------------------+
| 📁 | /tmp/TestLogsAfterRestartingContainer4032231042/002 |
+------------------------------------------------------------------------------------------------------------+

container_logs_test.go:365:
⤵️️ "TestLogsAfterRestartingContainer": into subtests prep
--- FAIL: TestLogsAfterRestartingContainer/logs_-f_works (0.09s)
container_logs_test.go:365:

+============================================================================================================+
| 🚀 | "TestLogsAfterRestartingContainer/logs_-f_works": starting test! |
+============================================================================================================+
| ⏳ | /tmp/TestLogsAfterRestartingContainerlogs_-f_works3636253693/001/471579cc |
+============================================================================================================+
| | |
+============================================================================================================+
| config | { |
| | "Namespace": "nerdctl-test", |
| | "PrivateMode": "" |
| | } |
+============================================================================================================+
| labels | {} |
+============================================================================================================+

container_logs_test.go:365:

+------------------------------------------------------------------------------------------------------------+
| ➡️ | ⚙️ /usr/local/bin/nerdctl logs -f testlogsafterrestartingcontainer-a8f1fb79 |
+------------------------------------------------------------------------------------------------------------+
| 🌱 | XDG_SESSION_TYPE=tty |
| | HOME=/home/dmp.linux |
| | XDG_SESSION_CLASS=user |
| | XDG_SESSION_ID=2 |
| | XDG_RUNTIME_DIR=/run/user/501 |
| | PATH=/usr/local/go/bin:/usr/local/bin:/usr/bin:/bin:/usr/local/games:/usr/games:/usr/sbin:/sbin: |
| | /usr/sbin:/sbin:/usr/local/go/bin:/home/dmp.linux/go/bin |
| | DOCKER_CONFIG=/tmp/TestLogsAfterRestartingContainerlogs_-f_works3636253693/003 |
| | NERDCTL_TOML=/tmp/TestLogsAfterRestartingContainerlogs_-f_works3636253693/003/nerdctl.toml |
+------------------------------------------------------------------------------------------------------------+
| ⏰ | <1s (limit: 3m0s) |
+------------------------------------------------------------------------------------------------------------+
| 📁 | /tmp/TestLogsAfterRestartingContainerlogs_-f_works3636253693/002 |
+------------------------------------------------------------------------------------------------------------+

container_logs_test.go:365:

<<<<<<<<<<<<<<<<<<<<
🖊️ Inspecting output (contains)
👀 testing: ``
❌ FAILED! ~= `Hello World!`
>>>>>>>>>>>>>>>>>>>>

container_logs_test.go:365:

<<<<<<<<<<<<<<<<<<<<
🖊️ Inspecting output (contains)
👀 testing: ``
❌ FAILED! ~= `There is no newline`
>>>>>>>>>>>>>>>>>>>>

```

### Steps to reproduce the issue

Hammer tests.

### Describe the results you received and expected

Not loose data.

### What version of nerdctl are you using?

main

### Are you using a variant of nerdctl? (e.g., Rancher Desktop)

None

### Host information

Logs codebase is intricate, and even with some moderate nerdctl experience, it is not trivial to even grok what is going on.

Are we even responsible for writing logs at any point? Or is it containerd only?

Is there a reason to believe that containerd could delay writing logs after a container has exited?