[Bug] I don't see C++ build time at all

Nobody has claimed this yet.

### Brief Issue Summary

Why is https://github.com/microsoft/vscode-cmake-tools/issues/3008 closed? I don't see any build time information at all in both "Terminal" and "Output" windows.

### CMake Tools Diagnostics

```shell
{
"os": "linux",
"vscodeVersion": "1.94.2",
"cmtVersion": "1.20.53",
"configurations": [
{
"folder": "/usr/src/DataStructuresAlgorithms",
"cmakeVersion": "3.31.6",
"configured": true,
"generator": "Ninja Multi-Config",
"usesPresets": false,
"compilers": {
"C": "/usr/bin/gcc",
"CXX": "/usr/bin/g++"
}
}
],
"cpptoolsIntegration": {
"isReady": true,
"hasCodeModel": true,
"activeBuildType": "Debug",
"buildTypesSeen": [
"Debug",
"Release"
],
"requests": [],
"responses": [],
"partialMatches": [],
"targetCount": 31,
"executablesCount": 2,
"librariesCount": 1,
"targets": []
},
"settings": [
{
"communicationMode": "automatic",
"useCMakePresets": "auto",
"configureOnOpen": true
}
]
}
```

### Debug Log

```shell
[proc] Executing command: /usr/bin/cmake --version
[proc] Executing command: /usr/bin/cmake -E capabilities
[kit] Successfully loaded 11 kits from /home/khteh/.local/share/CMakeTools/cmake-tools-kits.json
[variant] Loaded new set of variants
[proc] Executing command: /usr/bin/gcc -v
[main] Configuring project: DataStructuresAlgorithms
[proc] Executing command: /usr/bin/cmake -Dgtest_build_samples:STRING=ON -DCMAKE_EXPORT_COMPILE_COMMANDS:BOOL=TRUE -DCMAKE_C_COMPILER:FILEPATH=/usr/bin/gcc -DCMAKE_CXX_COMPILER:FILEPATH=/usr/bin/g++ --no-warn-unused-cli -S/usr/src/DataStructuresAlgorithms -B/usr/src/DataStructuresAlgorithms/build -G "Ninja Multi-Config"
[cmake] /usr/bin/cmake: /usr/local/lib/libcurl.so.4: no version information available (required by /usr/bin/cmake)
[cmake] -- Setting GNU options from CMakeLists.txt
[cmake] x64 architecture in use
[cmake] Not searching for unused variables given on the command line.
[cmake] -- Setting GNU options from src/CMakeLists.txt
[cmake] -- Configuring done (0.0s)
[cmake] -- Generating done (0.0s)
[cmake] -- Build files have been written to: /usr/src/DataStructuresAlgorithms/build
[proc] Executing command: /usr/bin/cmake --build /usr/src/DataStructuresAlgorithms/build --config Debug --target clean --
[proc] Executing command: /usr/bin/cmake --build /usr/src/DataStructuresAlgorithms/build --config Debug --target clean --
[proc] Executing command: /usr/bin/cmake --build /usr/src/DataStructuresAlgorithms/build --config Debug --target all --
[extension] [5752] cmake.buildDirectory started
[extension] [5752] cmake.buildDirectory finished (returned "/usr/src/DataStructuresAlgorithms/build")
[proc] Executing command: /usr/bin/cmake --build /usr/src/DataStructuresAlgorithms/build --config Debug --target clean --
[proc] with environment: 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%p :: %e] "}
[proc] Executing command: /usr/bin/cmake --build /usr/src/DataStructuresAlgorithms/build --config Debug --target all --
[proc] with environment: 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```

### Additional Information

_No response_

Reproduce the CMake Tools build using the supplied Linux, Ninja Multi-Config, and VS Code versions, then compare what appears in the Terminal and Output windows with the recorded build commands. Trace the build-output handling from that entry point; done means the C++ build duration is visible in the relevant output.

Written by the indexing model from the issue text.