Build Squeek Relay — a polished, playable multiplayer hamster relay race for Squeekchain (NOT a dashboard). Core fantasy: every player on Earth shares ONE real hamster motor (Squeektoshi). When he runs, the whole track surges; when he sleeps, the track ices over and everyone slows to a crawl.

Must use live Squeekchain public APIs (CORS-friendly):

• GET https://api.squeekchain.com/v1/status — measurement.rpmMilli, coreStatus, cumulativeWorkUnits, freshness
• GET https://api.squeekchain.com/v1/economy/state — current round / lifecycle Poll about every 2–3s. Map rpmMilli/1000 to world speed. If hamster IDLE/sleeping or freshness stale, apply ice mode (heavy friction, blue frost VFX).

Gameplay (must feel fun in 10 seconds):

1. Title screen with hamster motif, one-tap Play as guest (local nick) and optional wallet connect (sign message only, no gas) for leaderboard identity.
2. Side-scrolling relay track with pixel/vector hamster runners. Player controls: Left/Right or A/D to lane-change, Space/tap to boost (boost meter recharges only while hamster is RUNNING — this is the clever hook).
3. Relay batons spawn ahead; grab to score combo. Collide with ice patches / sleepy obstacles when hamster sleeps.
4. Session = one Squeekchain 10-minute round window when possible, else 90-second heat. Score = distance (meters) × combo, shown as 'meters ridden with Squeektoshi'.
5. Live shared leaderboard for the current heat (localStorage + optional simple serverless-free approach: purely client leaderboard is OK for v1 if clearly labeled 'this device'; prefer a lightweight public write if easy without backend secrets).
6. Spectator ticker: big LIVE badge, real RPM number, work units ticking, 'HE'S RUNNING' / 'HE'S SLEEPING' banner that flips instantly with API.

Visuals/audio: dark dotted-grid Squeekchain aesthetic (gold + blue accents), juicy juice animations, short squeak SFX, optional mute. Mobile + desktop.

Hard rules / not allowed:

• Do NOT ship a read-only status page, chart dashboard, or whitepaper clone.
• Do NOT require private keys, seed phrases, or mainnet payments to play.
• Do NOT invent fake chain data; if API fails, show reconnect state and pause scoring honestly.
• English UI primary; short Chinese subtitle on title OK.

Delivery: single polished static website on IPFS via the site label, works on eth.limo. Include a short How it works blurb naming the Squeekchain APIs used.

Acceptance: a stranger can play a full heat without instructions; speed visibly follows live RPM; sleep freezes the track; boost only while running.