cpp_supervised_app crashes sometimes during startup

### Description

While executing the demo scenario described [here](https://github.com/eclipse-score/lifecycle/blob/main/examples/README.md#demo-walkthrough) the [cpp_supervised_app](https://github.com/eclipse-score/lifecycle/tree/main/examples/cpp_supervised_app) sometimes crashes during startup.

The crash is coming from a panic in health_monitoring_library:
```
thread '' (110) panicked at library/std/src/io/stdio.rs:1166:9:
failed printing to stdout: Resource temporarily unavailable (os error 11)
stack backtrace:
2026/04/24 11:16:23.9383844 214149635 000 DEMO NONE DFLT log info verbose 1 Reporting kRunning to Launch Manager
2026/04/24 11:16:23.9383844 214149635 000 DEMO NONE DFLT log info verbose 1 Signal handler started
0: 0x481225 - <::print::DisplayBacktrace as core[d1bb96a9607206a1]::fmt::Display>::fmt
1: 0x49b997 - core[d1bb96a9607206a1]::fmt::write
2: 0x435cd6 - std[ea9f4e93d12430d]::io::default_write_fmt::
3: 0x480102 - ::print
4: 0x452d0c - std[ea9f4e93d12430d]::panicking::default_hook::{closure#0}
5: 0x45538b - std[ea9f4e93d12430d]::panicking::default_hook
6: 0x45554e - std[ea9f4e93d12430d]::panicking::panic_with_hook
7: 0x47fc68 - std[ea9f4e93d12430d]::panicking::panic_handler::{closure#0}
8: 0x47c9e9 - std[ea9f4e93d12430d]::sys::backtrace::__rust_end_short_backtrace::
9: 0x45345d - __rustc[43d5200f6d4d6223]::rust_begin_unwind
10: 0x407d3c - core[d1bb96a9607206a1]::panicking::panic_fmt
11: 0x4462c8 - std[ea9f4e93d12430d]::io::stdio::_print
12: 0x4f68e3 - ::log::{closure#0}
13: 0x4f60a8 - >>>::with_borrow_mut::<::log::{closure#0}, ()>::{closure#0}
[2026/04/24 11:16:23.8457025][111][HMON][INFO] Monitoring thread started.
14: 0x4f54ac - >>>::try_with::<>>>::with_borrow_mut<::log::{closure#0}, ()>::{closure#0}, ()>
15: 0x4f53d7 - >>>::with::<>>>::with_borrow_mut<::log::{closure#0}, ()>::{closure#0}, ()>
16: 0x4f54f6 - >>>::with_borrow_mut::<::log::{closure#0}, ()>
17: 0x4f97ca - ::log
18: 0x431655 - as score_log[627c137e28d9586]::Log>::log
19: 0x4217ad - ::new
20: 0x4c1349 - ::start_internal
21: 0x41b83f - health_monitor_start
22: 0x40eb81 - _ZN5score2hm13HealthMonitor5startEv
23: 0x40b4ee - main
24: 0x7f13986651ca - __libc_start_call_main
at ./csu/../sysdeps/nptl/libc_start_call_main.h:58:16
25: 0x7f139866528b - __libc_start_main_impl
at ./csu/../csu/libc-start.c:360:3
26: 0x40a79a - _start
27: 0x0 -

thread '' (110) panicked at library/core/src/panicking.rs:255:5:
panic in a function that cannot unwind
stack backtrace:
0: 0x481225 - <::print::DisplayBacktrace as core[d1bb96a9607206a1]::fmt::Display>::fmt
1: 0x49b997 - core[d1bb96a9607206a1]::fmt::write
2: 0x435cd6 - std[ea9f4e93d12430d]::io::default_write_fmt::
3: 0x480102 - ::print
4: 0x452d0c - std[ea9f4e93d12430d]::panicking::default_hook::{closure#0}
5: 0x45538b - std[ea9f4e93d12430d]::panicking::default_hook
6: 0x45554e - std[ea9f4e93d12430d]::panicking::panic_with_hook
7: 0x47fc9a - std[ea9f4e93d12430d]::panicking::panic_handler::{closure#0}
8: 0x47c9e9 - std[ea9f4e93d12430d]::sys::backtrace::__rust_end_short_backtrace::
9: 0x45345d - __rustc[43d5200f6d4d6223]::rust_begin_unwind
10: 0x407b2d - core[d1bb96a9607206a1]::panicking::panic_nounwind_fmt
11: 0x407a6b - core[d1bb96a9607206a1]::panicking::panic_nounwind
12: 0x407c37 - core[d1bb96a9607206a1]::panicking::panic_cannot_unwind
13: 0x41b78a - health_monitor_start
14: 0x40eb81 - _ZN5score2hm13HealthMonitor5startEv
15: 0x40b4ee - main
16: 0x7f13986651ca - __libc_start_call_main
at ./csu/../sysdeps/nptl/libc_start_call_main.h:58:16
17: 0x7f139866528b - __libc_start_main_impl
at ./csu/../csu/libc-start.c:360:3
18: 0x40a79a - _start
19: 0x0 -
thread caused non-unwinding panic. aborting
```

### Analysis results

_No response_

### Solution

_No response_

### Error Occurrence Rate

Sporadic

### How to reproduce

Issue was reproduced with current lifecycle main (https://github.com/eclipse-score/lifecycle/commit/7fc47fb672cf04c17b6317ebee48f2dcf10e8d41)

Start a tmux session
Run the demo bazel run //examples:run_examples --config=x86_64-linux -- tmux
Click through the demo scenario
Within the right tmux pane, switch between RunTargets repeatedly to trigger stop and restart of cpp_supervised_app:

lmcontrol Running
lmcontrol Startup

### Supporting Information

While starting [cpp_supervised_app example](https://github.com/eclipse-score/lifecycle/tree/main/examples/cpp_supervised_app)

### Classification

Minor

### First Affected Release

not released (main)

### Last Affected Release

not released (main)

### Expected Fixed Release

before release (main)

### Category

- [ ] Safety Relevant
- [ ] Security Relevant