How to change the current working directory (cwd) of the built file for the Run C/C++ File button?

[ktrin-u]

I am working on a project where input.txt is in the same level as the file to compile.
However, the outputs are found in /root/output/
Running the file through the extension keeps the cwd to /root/ and the input file won't be found.

I am unable to find any sort of documentation to find a solution to my issue.
The cwd property for tasks.json seems to only apply to the compiler part.
Is forsaking the extension's Run C/C++ File the only option for me?
I had success for changing the cwd for launch.json for debugging but it doesn't apply for running the program.

Here is my tasks.json

{
    "version": "2.0.0",
    "tasks": [
        {
            "type": "cppbuild",
            "label": "Build",
            "command": "C:/Compilers/mingw64/bin/gcc.exe",
            "args": [
                "-g",
                "${workspaceFolder}/code/assembler.c",
                "-o",
                "${workspaceFolder}/code/output/assembler.exe"
            ],
            "options": {
                "cwd": "${workspaceFolder}/code/output"
            },
            "problemMatcher": [
                "$gcc"
            ],
            "group": {
                "type":"build",
                "isDefault":true,
            },
            "detail": "Builds the project main file",
        },
    ],
}