Use "OUTPUT" for the "Compile Active File" task

### Feature Request

Could you change the "Compile Active File" task (the button at the top-right of the opened C++ file) to report the g++ output to the OUTPUT tab rather than to TERMINAL?

The reason is because it is inconvenient to navigate upon the errors and warnings inside the TERMINAL tab. Home and End buttons actually move the cursor to the begin/end of the command line at the bottom of the tab rather than scroll the compilation output top/down. And PgUp/PgDown also do not scroll up/down.

PS. Previously I posted this issue to [VS Code](https://github.com/microsoft/vscode/issues/225974). They say it has to be moved here. Please excuse me if that is the wrong place again. I just do not know which plugin created the "Compile Active File" button.

Start by locating the implementation of the "Compile Active File" task and how it selects the TERMINAL tab in CMake Tools. Compare that path with the OUTPUT tab integration and verify the task's g++ diagnostics can be navigated there. Done means compilation output appears in OUTPUT instead of TERMINAL while the task remains usable from the opened C++ file.

Written by the indexing model from the issue text.