Closes #137122

<b>Before</b>
VS Code and VS Code Insiders installed via Flatpak aren't detected

<b>After</b>
```sh
[✓] VS Code (version 1.82.2)
    • VS Code at /var/lib/flatpak/app/com.visualstudio.code/x86_64/stable/active/files/extra/vscode
    • Flutter extension version 3.74.0

[✓] VS Code (version 1.84.0-insider)
    • VS Code at /var/lib/flatpak/app/com.visualstudio.code.insiders/x86_64/beta/active/files/extra/vscode-insiders
    • Flutter extension version 3.75.20231002
```