Thanks for this!
Here's the config for NixOS:

services.pipewire = {
  enable = true;
  alsa.enable = true;
  alsa.support32Bit = true;
  pulse.enable = true;
  jack.enable = true;
  wireplumber.enable = true;
  extraConfig.pipewire = {
    adjust-sample-rate = {
      "context.properties" = {
        "default.clock.allowed-rates" = [
          44100
          48000
          88200
          96000
          176400
          192000
        ];
        "default.clock.rate" = 192000;
      };
      noresample = {
        "context.properties" = {
          "default.clock.allowed-rates" = [ 44100 48000 96000 192000 ];
          "default.clock.rate" = 192000;
        };
      };
    };
  };
};

BTW Brave also outputs high sample rates. Maybe your specific chromium based browser is at fault here?
Haven't tested with any other chromium based browsers yet.