fix: Added missing dependencies for web to work

[Arjan-Zuidema]

Possible relates to #625 #618 #509

Description

Fixes issues with web. Possible due to not using (or able to use) react-native-reanimated/plugin babel plugin in a project.

Review

• I self-reviewed this PR

Testing

• I added/updated tests
• I manually tested

We tested this on our own codebase (Next.js with Expo) by applying a patch file with the same fixes.

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Name	Status	Preview	Comments	Updated (UTC)
react-native-reanimated-carousel	✅ Ready (Inspect)	Visit Preview	💬 Add feedback	Feb 4, 2025 9:27am

[Arjan-Zuidema]

Added a patch file to fix this issue with the current version, if anyone needs it.

react-native-reanimated-carousel+4.0.0-canary.22.patch