bug: nix nushell path environment variable does not have `$USER` and `$HOME`

Are you following the right branch?

[X] My Nixpkgs and Home Manager versions are in sync

Is there an existing issue for this?

[X] I have searched the existing issues

Issue description

nushell $env.PATH per-user miss username. bash path

echo "/opt/orbstack-guest/bin-hiprio:/opt/orbstack-guest/data/bin/cmdlinks:/run/wrappers/bin:/home/livenux/.nix-profile/bin:/nix/profile/bin:/home/livenux/.local/state/nix/profile/bin:/etc/profiles/per-user/livenux/bin:/nix/var/nix/profiles/default/bin:/run/current-system/sw/bin:/opt/orbstack-guest/bin" | split row ':'
╭───┬────────────────────────────────────────────╮
│ 0 │ /opt/orbstack-guest/bin-hiprio             │
│ 1 │ /opt/orbstack-guest/data/bin/cmdlinks      │
│ 2 │ /run/wrappers/bin                          │
│ 3 │ /home/livenux/.nix-profile/bin             │
│ 4 │ /nix/profile/bin                           │
│ 5 │ /home/livenux/.local/state/nix/profile/bin │
│ 6 │ /etc/profiles/per-user/livenux/bin         │
│ 7 │ /nix/var/nix/profiles/default/bin          │
│ 8 │ /run/current-system/sw/bin                 │
│ 9 │ /opt/orbstack-guest/bin                    │
╰───┴────────────────────────────────────────────╯

nushell path

 $env.PATH                                                                                                                                                  01/18/24 01:48:52 AM
╭───┬───────────────────────────────────────╮
│ 0 │ /opt/orbstack-guest/bin-hiprio        │
│ 1 │ /opt/orbstack-guest/data/bin/cmdlinks │
│ 2 │ /run/wrappers/bin                     │
│ 3 │ /.nix-profile/bin                     │
│ 4 │ /nix/profile/bin                      │
│ 5 │ /.local/state/nix/profile/bin         │
│ 6 │ /etc/profiles/per-user//bin           │
│ 7 │ /nix/var/nix/profiles/default/bin     │
│ 8 │ /run/current-system/sw/bin            │
│ 9 │ /opt/orbstack-guest/bin               │
╰───┴───────────────────────────────────────╯

flake.nix

{
  description = "A template that shows all standard flake outputs";

  inputs = {
    nix.url = "github:NixOS/nix";
    nixpkgs.url = "github:NixOS/nixpkgs/nixos-23.11";

    dwarffs.url = "github:edolstra/dwarffs";

    home-manager = {
      url = "github:nix-community/home-manager/release-23.11";
      inputs.nixpkgs.follows = "nixpkgs";
    };

  };

  outputs = {self, nix, nixpkgs, dwarffs, home-manager, ... }@inputs: {
    nixosConfigurations = {
      nixos = nixpkgs.lib.nixosSystem {
        system = "aarch64-linux";

        modules = [
          ./configuration.nix
          ./users.nix
          dwarffs.nixosModules.dwarffs
          { nixpkgs.overlays = [ nix.overlays.default ]; }

          home-manager.nixosModules.home-manager
          {
            home-manager.useGlobalPkgs = true;
            home-manager.useUserPackages = true;
            home-manager.users.livenux = import ./home-manager.nix;
          }

        ];

      };

    };
  };

}

home-mager.nix

{ config, pkgs, ... }:
{
  home = {
    username = "livenux";
    homeDirectory = "/home/livenux";
    stateVersion = "23.11";

    packages = [
      pkgs.htop
      pkgs.fortune
    ];
  };

  programs = {
    home-manager.enable = true;

    neovim = {
      enable = true;
      defaultEditor = true;
      viAlias = true;
      vimAlias = true;
    };

    git = {
      enable = true;
      userName = "Livenux";
      userEmail = "livenux@mail.com";
     };
    nushell.enable = true;
  };
}

Maintainer CC

No response

System information

nushell

nix-shell -p nix-info --run "nix-info -m"                                                                                                          
error:
       … while calling the 'import' builtin
         at «string»:1:18:
            1| {...}@args: with import <nixpkgs> args; (pkgs.runCommandCC or pkgs.runCommand) "shell" { buildInputs = [ (nix-info) ]; } ""
             |                  ^

       … while realising the context of a path

       … while calling the 'findFile' builtin
         at «string»:1:25:
            1| {...}@args: with import <nixpkgs> args; (pkgs.runCommandCC or pkgs.runCommand) "shell" { buildInputs = [ (nix-info) ]; } ""
             |                         ^

       error: file 'nixpkgs' was not found in the Nix search path (add it using $NIX_PATH or -I)

bash

nix-shell -p nix-info --run "nix-info -m"
 - system: `"aarch64-linux"`
 - host os: `Linux 6.5.13-orbstack-00121-ge428743e4e98, NixOS, 23.11 (Tapir), 23.11.20240110.3dc440f`
 - multi-user?: `no`
 - sandbox: `yes`
 - version: `nix-env (Nix) 2.20.0pre20240113_cbd5553`
 - channels(root): `"nixos-23.11.2874.a2fe8d21f667"`
 - nixpkgs: `/nix/var/nix/profiles/per-user/root/channels/nixos`

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nix-community / home-manager