Refresh the strip and the badge out of band

The "Continue reading" strip and the Updated badge describe the whole library
but live outside the #list htmx swaps, so nothing corrected them after a
mutation: archiving a series left it sitting in the strip under "Continue
reading", with the badge still counting it. A tab switch had the same problem
from the other side — the strip was server-gated to All but could not be
re-rendered client-side, so /?tab=all reached by htmx and the same URL reloaded
produced different DOM.

Both regions move into chrome.html and always render, hidden when they have
nothing to say, so an out-of-band swap always has an id to target. /ui/list and
every mutation append them; the tab the reader is on comes from HX-Current-URL.
filter.js keeps only the job the server cannot do — hiding the strip while a
filter is active.

Co-Authored-By: Claude Opus 5 <noreply@anthropic.com>

backend/templates/chrome.html

@@ -0,0 +1,30 @@
+{{/* The two regions that live outside the swapped #list: the "Continue
+     reading" strip and the Updated badge. Both are rendered inline by app.html
+     and again, out of band, on every /ui/ response — a mutation must not leave
+     them describing the library as it was before the tap.
+
+     Both always render, hidden when they have nothing to say, so an out-of-band
+     swap always has an element with the right id to replace. */}}
+
+{{define "recent"}}
+<section class="recent" id="recent"{{if .OOB}} hx-swap-oob="true"{{end}}{{if not .Recent}} hidden{{end}}>
+  <h2>Continue reading</h2>
+  <div class="recent-strip">
+    {{range .Recent}}
+    <a class="recent-card {{if .HasNewChapter}}is-new{{end}}" href="{{.ContinueURL}}"
+       target="_blank" rel="noopener noreferrer">
+      <span class="recent-cover">
+        {{if .Cover}}<img src="{{.Cover}}" alt="" loading="lazy">
+        {{else}}<span class="monogram" aria-hidden="true">{{.Initial}}</span>{{end}}
+        {{if .HasNewChapter}}<span class="foot-rule"></span>
+        {{else if .Favorite}}<span class="foot-rule brass"></span>{{end}}
+      </span>
+      <span class="recent-title">{{.Title}}</span>
+      <span class="recent-chapter">{{.DisplayChapter}}{{if .HasNewChapter}} · New{{end}}</span>
+    </a>
+    {{end}}
+  </div>
+</section>
+{{end}}
+
+{{define "newcount"}}<span class="count" id="new-count"{{if .OOB}} hx-swap-oob="true"{{end}}{{if not .NewCount}} hidden{{end}}>{{.NewCount}}</span>{{end}}