Let it look things up rather than putting it in search mode

Results announced themselves as the source, so a question it already knew got
answered by paraphrasing the first hit.

Plugin/unraid/include/ai_web.php

@@ -274,8 +274,18 @@ function vv_ai_web_search(string $question): array {
 // renumbering the other.
 function vv_ai_web_context(array $results, int $offset = 0): string {
     if (!$results) return '';
-    $s = "Web search results. These are from outside this installation — cite them by number, and\n"
-       . "say when something is a general answer rather than one about this machine.\n\n";
+    // Framed as reference material, not as the answer. The search runs whenever the box is
+    // ticked, because a search is one HTTP request and deciding to run it would cost a whole
+    // extra generation — but running it must not mean leaning on it. Answering a question the
+    // model already knows by paraphrasing the first search result is worse than answering it
+    // directly, and it was doing that because the results announced themselves as the source.
+    $s = "Reference material from a web search, in case it is useful. It is from outside this\n"
+       . "installation and nothing here has been verified against this machine.\n\n"
+       . "Answer from what you already know when you know it. Reach for these when you do not,\n"
+       . "when the question turns on something current, or when a specific version, release or\n"
+       . "figure needs checking rather than recalling. Cite by number only what you actually\n"
+       . "used, ignore the rest, and never imply the web was consulted about this installation —\n"
+       . "it was not. Say plainly when an answer is general rather than about this machine.\n\n";
     foreach ($results as $i => $r) {
         $s .= '[' . ($offset + $i + 1) . '] ' . $r['title'] . ' — ' . $r['url'] . "\n"
             . $r['snippet'] . "\n\n";

Plugin/unraid/pages/ai.php

@@ -398,13 +398,16 @@ vv_ai_chat_markup('vv-ai', [
            reads as broken, and the reason it does nothing is a capability boundary that takes a
            paragraph to explain. -->
       <div class="vv-ai-set-r" id="vv-ai-web-row" style="display:none">
-        <span class="vv-ai-set-l">Web search</span>
+        <span class="vv-ai-set-l">Looking things up</span>
         <div>
-          <label class="vv-ai-toggle"><input type="checkbox" id="vv-ai-web"> search the web for
-            this question</label>
-          <div class="vv-ai-set-d" id="vv-ai-web-state">General Chat only — it is the one profile
-            that cannot change anything, which is why it is the one allowed to look outside. Your
-            question is sent to the configured search provider.</div>
+          <label class="vv-ai-toggle"><input type="checkbox" id="vv-ai-web"> let it look up what
+            it does not know</label>
+          <div class="vv-ai-set-d" id="vv-ai-web-state">Not a web-search mode — it still answers
+            from what it knows, and reaches for results when it does not know, when the question
+            turns on something current, or when a version or figure is worth checking rather than
+            recalling. General Chat only: it is the one profile that cannot change anything, which
+            is why it is the one allowed to look outside. Your question is sent to the configured
+            search provider.</div>
         </div>
       </div>
       <div class="vv-ai-set-r">