feat(web): in-feed paste box + onboarding-aware connect confirmation

5b: connected users get a 'Summarize any video' URL input on the feed; submit
posts to /paste (HTMX) and swaps the resulting card / inline error into the feed.
7: the connect flash now sets expectations for the async onboarding burst —
'finding your subscriptions, your newest videos will appear below as summarized'.

Co-Authored-By: Claude Opus 4.8 (1M context) <noreply@anthropic.com>

internal/web/views.templ

@@ -107,6 +107,9 @@ templ flashBanner(code string) {
 templ ListPage(b listBuckets, f Filter, stats PipelineStats, flash string, hasConnected bool) {
 	@Layout("Tapir — Summaries") {
 		@flashBanner(flash)
+		if hasConnected {
+			@pasteForm()
+		}
 		if !b.empty() || f.active() {
 			@filterForm(f)
 		}
@@ -143,6 +146,28 @@ templ pipelineBar(s PipelineStats) {
 	</div>
 }
 
+// pasteForm lets a connected user summarize any YouTube video by pasting its URL
+// (Feature 2). The result (a video card, or an inline error) swaps into
+// #paste-result; the next list refresh shows it inline. Summarization runs
+// through the shared caption rate gate like every other fetch.
+templ pasteForm() {
+	<form
+		class="paste"
+		method="post"
+		action="/paste"
+		hx-post="/paste"
+		hx-target="#paste-result"
+		hx-swap="innerHTML"
+	>
+		<label>
+			Summarize any video
+			<input type="url" name="url" placeholder="Paste a YouTube link…" required/>
+		</label>
+		<button type="submit">Add</button>
+	</form>
+	<div id="paste-result"></div>
+}
+
 templ filterForm(f Filter) {
 	<form
 		class="filters"