Awesome Window Manager - Open Chromium Developer Tools on Different Screen Than Chromium

I managed to work around the issue by targeting the windows role instead of the name. I also made the rules more succinct by using rule_any for the identical browser rules.

awful.rules.rules = {
    { rule = { },
      properties = { border_width = beautiful.border_width,
                     border_color = beautiful.border_normal,
                     focus = awful.client.focus.filter,
                     keys = clientkeys,
                     buttons = clientbuttons } },

    { rule = { class = "URxvt" },
      properties = { tag = tags[2][1],
                     size_hints_honor = false } },

    { rule_any = { class = { "Chromium-browser", "Firefox", "Opera" } },
      properties = { tag = tags[1][1] } },

    { rule = { class = "Chromium-browser", role = "pop-up" },
      properties = { tag = tags[3][1] } }
}