fix: stabilize keyboard layout tracking

[MarshallBear1]

Summary

• prevent KeyboardAvoidingView padding modes from feeding their animated layout back into the keyboard-height calculation
• tolerate one physical pixel of rounding when iOS matches interactive keyboard positions with fractional accessory offsets
• reset animated, Reanimated, and focused-input state when KeyboardController is disabled mid-transition
• invoke the example app bundle scripts with separately quoted paths, so builds work from checkout paths containing spaces

Validation

• yarn jest src/__tests__/animated.spec.tsx src/components/KeyboardAvoidingView/__tests__/initialFrame.spec.tsx --runInBand
• yarn typescript
• yarn lint
• built the iOS example app for iOS 26.4
• launched it on iPhone 17 Pro Max and exercised the automatic KeyboardAvoidingView keyboard open/dismiss flow

[github-actions]

📊 Package size report

Current size	Target Size	Difference
334233 bytes	332793 bytes	1440 bytes 📈

[kirillzyusko]

Hey @MarshallBear1

Could you split your PR into 4 smaller PRs?

For me it looks like you are fixing 4 different problems in a single PR, I'll not be able to merge it. Correct fix for AI comments already landed here: #1542

[MarshallBear1]

Split as requested:

• fix: stabilize KeyboardAvoidingView layout tracking #1544 — KeyboardAvoidingView layout feedback
• fix: tolerate fractional iOS keyboard positions #1545 — fractional iOS keyboard positions
• fix: reset keyboard values when disabled #1546 — reset values when disabled
• fix: quote Xcode bundle script paths #1547 — Xcode paths containing spaces

The duplicate AI-review workflow change was dropped because #1542 already landed. Thanks for the direction.