refactor(nav): rename emphasizeGameContext to emphasizePlayerSelection

Improves clarity by renaming the prop to better describe its purpose:
highlighting the player selection/roster UI in the navigation bar.

🤖 Generated with [Claude Code](https://claude.com/claude-code)

Co-Authored-By: Claude <noreply@anthropic.com>

apps/web/src/app/arcade/matching/components/MemoryPairsGame.tsx

@@ -33,7 +33,7 @@ export function MemoryPairsGame() {
     <PageWithNav
       navTitle={navTitle}
       navEmoji={navEmoji}
-      emphasizeGameContext={state.gamePhase === 'setup'}
+      emphasizePlayerSelection={state.gamePhase === 'setup'}
       onExitSession={() => {
         exitSession()
         router.push('/arcade')

apps/web/src/app/arcade/page.tsx

@@ -78,7 +78,7 @@ function ArcadeContent() {
 
 function ArcadePageWithRedirect() {
   return (
-    <PageWithNav navTitle="Champion Arena" navEmoji="🏟️" emphasizeGameContext={true}>
+    <PageWithNav navTitle="Champion Arena" navEmoji="🏟️" emphasizePlayerSelection={true}>
       <ArcadeContent />
     </PageWithNav>
   )

apps/web/src/app/games/matching/components/MemoryPairsGame.tsx

@@ -32,7 +32,7 @@ export function MemoryPairsGame() {
       navTitle={navTitle}
       navEmoji={navEmoji}
       gameName="matching"
-      emphasizeGameContext={state.gamePhase === 'setup'}
+      emphasizePlayerSelection={state.gamePhase === 'setup'}
       currentPlayerId={state.currentPlayer}
       playerScores={state.scores}
       playerStreaks={state.consecutiveMatches}

apps/web/src/components/PageWithNav.tsx

@@ -13,7 +13,7 @@ interface PageWithNavProps {
   navTitle?: string
   navEmoji?: string
   gameName?: 'matching' | 'memory-quiz' | 'complement-race' // Internal game name for API
-  emphasizeGameContext?: boolean
+  emphasizePlayerSelection?: boolean
   onExitSession?: () => void
   onSetup?: () => void
   onNewGame?: () => void
@@ -28,7 +28,7 @@ export function PageWithNav({
   navTitle,
   navEmoji,
   gameName,
-  emphasizeGameContext = false,
+  emphasizePlayerSelection = false,
   onExitSession,
   onSetup,
   onNewGame,
@@ -103,7 +103,7 @@ export function PageWithNav({
             ? 'tournament'
             : 'none'
 
-  const shouldEmphasize = emphasizeGameContext && mounted
+  const shouldEmphasize = emphasizePlayerSelection && mounted
   const showFullscreenSelection = shouldEmphasize && activePlayerCount === 0
 
   // Compute arcade session info for display