feat: add new skills to skills-lock.json and update use-pixel-heat component

- Added new skills: find-skills, frontend-ui-engineering, and vercel-react-best-practices to skills-lock.json.
- Updated use-pixel-heat.ts to import both animate and AnimationPlaybackControls from motion for improved animation handling.

.agents/skills/vercel-react-best-practices/rules/rerender-derived-state-no-effect.md

@@ -0,0 +1,40 @@
+---
+title: Calculate Derived State During Rendering
+impact: MEDIUM
+impactDescription: avoids redundant renders and state drift
+tags: rerender, derived-state, useEffect, state
+---
+
+## Calculate Derived State During Rendering
+
+If a value can be computed from current props/state, do not store it in state or update it in an effect. Derive it during render to avoid extra renders and state drift. Do not set state in effects solely in response to prop changes; prefer derived values or keyed resets instead.
+
+**Incorrect (redundant state and effect):**
+
+```tsx
+function Form() {
+  const [firstName, setFirstName] = useState('First')
+  const [lastName, setLastName] = useState('Last')
+  const [fullName, setFullName] = useState('')
+
+  useEffect(() => {
+    setFullName(firstName + ' ' + lastName)
+  }, [firstName, lastName])
+
+  return <p>{fullName}</p>
+}
+```
+
+**Correct (derive during render):**
+
+```tsx
+function Form() {
+  const [firstName, setFirstName] = useState('First')
+  const [lastName, setLastName] = useState('Last')
+  const fullName = firstName + ' ' + lastName
+
+  return <p>{fullName}</p>
+}
+```
+
+References: [You Might Not Need an Effect](https://react.dev/learn/you-might-not-need-an-effect)