Fix live badge prop issue and derive live badge internally

frontend/app/page.tsx

@@ -255,7 +255,6 @@ export default function HomePage() {
                 onAnalyze={handleTenderSelect}
                 forceShowFollowed={activeTab === "My Portfolio"}
                 initialKeyword={searchKeyword}
-                showLiveDefaultBadge={!searchKeyword && activeTab === "Tender Search"}
                 lang={lang}
               />
             )}

frontend/components/TenderSearch.tsx

@@ -43,6 +43,7 @@ export default function TenderSearch({ tenders, onSearch, onAnalyze, forceShowFo
 
   const isTenderCode = /^[0-9]+-[0-9]+-[A-Z0-9]+$/i.test(keyword);
   const isLiveSearch = Boolean(isTenderCode || providerCode || orgCode || status || date);
+  const showLiveDefaultBadge = !showOnlyFollowed && !keyword && !providerCode && !orgCode && !status && !date;
   const searchButtonLabel = isLoading
     ? "Searching..."
     : isLiveSearch
@@ -300,14 +301,19 @@ export default function TenderSearch({ tenders, onSearch, onAnalyze, forceShowFo
           </div>
 
           {/* Results Controls */}
-          <div className="flex items-center justify-between px-2">
-            <div className="flex items-center gap-3">
+          <div className="flex flex-col gap-3 px-2 md:flex-row md:items-center md:justify-between">
+            <div className="flex flex-wrap items-center gap-3">
               <h3 className="text-lg font-bold text-white">
                 {showOnlyFollowed ? "Saved Opportunities" : "Market Results"}
               </h3>
               <span className="text-[10px] bg-white/5 text-slate-400 px-2 py-0.5 rounded-full border border-white/5">
                 {filteredTenders.length} items
               </span>
+              {showLiveDefaultBadge && (
+                <span className="text-[10px] bg-emerald-500/10 text-emerald-200 px-2 py-0.5 rounded-full border border-emerald-500/20 font-bold uppercase tracking-[0.25em]">
+                  Live Mercado Público data
+                </span>
+              )}
             </div>
             {followedCodes.length > 0 && (
               <button