feat(course): audit fixes and twelve extensions (Modules 7b, 12, 13)

Audit pass:
- Frame rule counts frames since the last move, so every step lasts
  exactly movesEvery(score) frames, also right after a speed-up
- clampTime + MAX_GAP_MS: a hidden tab no longer replays the whole gap
- Pong Restart keeps held keys
- Fact corrections (mulberry32 output coverage, Haskell IO, uniform)
- New fixture cases from a mutation analysis

Extensions (all three tracks, shared fixtures, course text):
- Turn queue (Exercise 10.6), persisted high score (10.7),
  replay viewer (10.8), play() end-to-end helper (9.5)
- Optional State (4.7) and optional Module 7b, stack-safe IO
- Module 12, property-based testing with generators, shrinking,
  invariants and a model-based oracle
- Module 13, Conway's Life with a Click event
- JS type checking via jsconfig, JSDoc and types.d.ts
- Maintainer tools: scripts/mutate.mjs, scripts/typecheck-js.sh,
  Playwright end-to-end suite (e2e/, scripts/e2e.sh)

Docs: docs/contract.md is the canonical contract; specs and build log
under docs/superpowers.

Verified: JS 728, Scala 689, F# 691 unit tests; stubs and progression
M01-M13 and M07b; 176 end-to-end tests on Chromium and WebKit.

Co-Authored-By: Claude Fable 5.2 <noreply@anthropic.com>

js/test/m09-runtime.test.js

@@ -18,9 +18,12 @@ const fakePlatform = (seed = 42) => {
     startClock: (cb) => { handlers.time = cb },
     onKeyDown: (cb) => { handlers.down = cb },
     onKeyUp: (cb) => { handlers.up = cb },
+    // m13: a runtime from Module 9 does not register this yet; nothing in m09 fires a click.
+    onClick: (cb) => { handlers.click = cb },
     fireTime: (t) => handlers.time(t),
     fireKey: (k) => handlers.down(k),
     fireKeyUp: (k) => handlers.up(k),
+    fireClick: (x, y) => handlers.click(x, y),
   }
 }