Device flow: single state resolver + shared terminal-state partial

The terminal states (expired / already-used / not-found) were duplicated as
markup in show and result, and #verify re-implemented the nil→expired→!pending
cascade that #show already had — a copy edit meant four touch points.

- device_code_state(dc) resolves a code to :not_found / :expired /
  :already_handled / :ok. Both #show and #verify branch on it, so the cascade
  lives in one place.
- _terminal_state partial renders the terminal heading/message/link once;
  result.html.erb now renders it instead of inlining the markup.

Co-Authored-By: Claude Opus 4.8 (1M context) <noreply@anthropic.com>
Claude-Session: https://claude.ai/code/session_01F7cwhwDJp3MJJDoNPVE6zq

app/views/device_authorizations/_terminal_state.html.erb

@@ -0,0 +1,19 @@
+<%#
+  Terminal device-authorization states, shared by the /device prompt (show) and
+  the result page. Pass `state:` as one of :expired, :already_handled, :not_found.
+%>
+<% headings = {
+     expired: "Code expired",
+     already_handled: "Code already used",
+     not_found: "Code not found"
+   } %>
+<% messages = {
+     expired: "This device code has expired. Start again from your tool to get a fresh code.",
+     already_handled: "This device code has already been approved or denied. Start again from your tool if you need a new one.",
+     not_found: "We couldn't find that code. Check the code your tool is showing and try again."
+   } %>
+<div class="text-center">
+  <h2 class="text-2xl font-bold text-gray-900 dark:text-gray-100"><%= headings[state] %></h2>
+  <p class="mt-3 text-sm text-gray-600 dark:text-gray-400"><%= messages[state] %></p>
+  <%= link_to "Enter a different code", device_verification_path, class: "mt-6 inline-block text-sm font-medium text-blue-600 hover:text-blue-500 dark:text-blue-400" %>
+</div>

app/views/device_authorizations/result.html.erb

@@ -31,13 +31,7 @@
       </p>
 
     <% else %>
-      <h2 class="text-2xl font-bold text-gray-900 dark:text-gray-100">
-        <%= @state == :expired ? "Code expired" : (@state == :already_handled ? "Code already used" : "Code not found") %>
-      </h2>
-      <p class="mt-3 text-sm text-gray-600 dark:text-gray-400">
-        Start again from your tool to get a fresh code.
-      </p>
-      <%= link_to "Enter a different code", device_verification_path, class: "mt-6 inline-block text-sm font-medium text-blue-600 hover:text-blue-500 dark:text-blue-400" %>
+      <%= render "terminal_state", state: @state %>
     <% end %>
   </div>
 </div>