fix: auto-advance on new-game selections

Advance the wizard immediately when selecting game type, break rule, race-to quick picks, and completed break-order choices for a consistent tap-first flow.

Made-with: Cursor

src/lib/features/new-game/steps/BreakOrderStep.tsx

@@ -27,10 +27,17 @@ export const BreakOrderStep = ({ players, rule, onNext, onCancel, initialFirst =
 
   const handleFirst = (idx: number) => {
     setFirst(idx);
+    const isImmediateFlow = rule !== 'wechselbreak' || playerCount !== 3;
+    if (isImmediateFlow) {
+      onNext(idx);
+    }
   };
 
   const handleSecond = (idx: number) => {
     setSecond(idx);
+    if (rule === 'wechselbreak' && playerCount === 3 && first > 0) {
+      onNext(first, idx);
+    }
   };
 
   const handleSubmit = (e: Event) => {

src/lib/features/new-game/steps/BreakRuleStep.tsx

@@ -16,6 +16,7 @@ export const BreakRuleStep = ({ onNext, onCancel, initialValue = 'winnerbreak' }
   
   const handleSelect = (nextRule: BreakRule) => {
     setRule(nextRule);
+    onNext(nextRule);
   };
 
   const handleSubmit = (e: Event) => {

src/lib/features/new-game/steps/GameTypeStep.tsx

@@ -16,6 +16,7 @@ export const GameTypeStep = ({ onNext, onCancel, initialValue = '' }: GameTypeSt
 
   const handleSelect = (selectedType: string) => {
     setGameType(selectedType);
+    onNext(selectedType);
   };
 
   const handleSubmit = (e: Event) => {

src/lib/features/new-game/steps/RaceToStep.tsx

@@ -23,6 +23,11 @@ export const RaceToStep = ({ onNext, onCancel, initialValue = '', gameType }: Ra
     initialValue !== '' ? initialValue : defaultValue
   );
 
+  const toRaceToValue = (value: string | number) => {
+    if (value === RACE_TO_INFINITY || value === 'Infinity') return Infinity;
+    return parseInt(String(value), 10) || 0;
+  };
+
   useEffect(() => {
     if (initialValue === '' || initialValue === undefined) {
       setRaceTo(defaultValue);
@@ -34,6 +39,7 @@ export const RaceToStep = ({ onNext, onCancel, initialValue = '', gameType }: Ra
   const handleQuickPick = (value: number | typeof RACE_TO_INFINITY) => {
     const selected = value === RACE_TO_INFINITY ? RACE_TO_INFINITY : value;
     setRaceTo(selected);
+    onNext(toRaceToValue(selected));
   };
 
   const handleInputChange = (e: Event) => {
@@ -43,8 +49,7 @@ export const RaceToStep = ({ onNext, onCancel, initialValue = '', gameType }: Ra
 
   const handleSubmit = (e: Event) => {
     e.preventDefault();
-    const raceToValue = raceTo === 'Infinity' ? Infinity : (parseInt(String(raceTo), 10) || 0);
-    onNext(raceToValue);
+    onNext(toRaceToValue(raceTo));
   };
 
   return (