Terminal integration when using VSCode from Flatpak

[nigelsim]

I'm using VSCode from a Flatpak. To get my terminal to work with my normal environment I use host-spawn:

{
    "terminal.integrated.defaultProfile.linux": "bash",
    "terminal.integrated.profiles.linux": {
      "bash": {
        "path": "host-spawn",
        "args": ["bash"]
      }
    },
    "terminal.integrated.inheritEnv": true
  }

This all works well for my interactive sessions.

However, I believe this is why I get the Command Execution Warning Your command is being executed without VSCode terminal shell integration. warning.

So far all I've tried is adding [[ "$TERM_PROGRAM" == "vscode" ]] && . "$(code --locate-shell-integration-path bash)" to my ~/.bashrc without success, and I don't feel like I have a deep enough understanding of how Kilo or the terminal integration works to proceed in a meaningful way.

Has anyone had success with this configuration?