Raise daily generation limit to 100 and fix limit UI coercion.

0 was misread as zero allowed on older servers; player no longer falls back to 10 when saving limits.

Co-authored-by: Cursor <cursoragent@cursor.com>

gateway/player.html

@@ -590,7 +590,7 @@
         Max new songs / day
         <span class="hint">Hard cap on Lyria generations</span>
       </label>
-      <input type="number" class="num-input" id="setMaxPerDay" min="1" max="100" value="10">
+      <input type="number" class="num-input" id="setMaxPerDay" min="0" max="200" value="100" title="0 = unlimited">
     </div>
     <div class="settings-divider">Lyria 3 (from API)</div>
     <div class="lyria-status ok" id="lyriaApiStatus">Checking Gemini / Lyria…</div>
@@ -1052,7 +1052,8 @@
         new_song_chance: data.playback?.new_song_chance,
       });
       if (data.budget) {
-        setMaxPerDay.value = data.budget.max_per_day || 10;
+        const cap = data.limits?.max_new_songs_per_day ?? data.budget?.max_per_day;
+        setMaxPerDay.value = cap === undefined || cap === null ? 100 : cap;
       }
       if (data.lyria) syncLyriaUI(data.lyria);
       updateModeBadge();
@@ -1074,7 +1075,10 @@
         new_song_chance: setChance.value / 100,
       },
       limits: {
-        max_new_songs_per_day: parseInt(setMaxPerDay.value, 10) || 10,
+        max_new_songs_per_day: (() => {
+          const n = parseInt(setMaxPerDay.value, 10);
+          return Number.isFinite(n) && n >= 0 ? n : 100;
+        })(),
       },
       lyria: {
         model: setLyriaModel.value,
@@ -1098,7 +1102,8 @@
         statRemaining.textContent = `${data.budget.remaining ?? 0} remaining`;
       }
       const perTrack = data.costs?.per_track_estimate_usd || 0.082;
-      statMaxBudget.textContent = fmtUsd(perTrack * (data.limits?.max_new_songs_per_day || 10));
+      const cap = data.limits?.max_new_songs_per_day ?? 100;
+      statMaxBudget.textContent = cap <= 0 ? '∞' : fmtUsd(perTrack * cap);
     } catch (_) {}
     savingSettings = false;
   }