feat: add smooth page entry animations

[kunal-9090]

Summary

• add lightweight Framer Motion page entry animations to the landing hero
• stagger hero badge, heading, description, CTA buttons, stat cards, and category cards
• respect reduced-motion preferences so motion-sensitive users see static content

Verification

• pnpm exec prettier --write components/hero/hero.tsx
• pnpm lint
• pnpm build
• verified locally at http://127.0.0.1:3001

Fixes #91

[vercel]

@kunal-9090 is attempting to deploy a commit to the vaibhav's projects Team on Vercel.

A member of the Team first needs to authorize it.

[ARPANPATRA111]

Here is how the output looks like @Vaibhav-kesarwani :

animation.mp4

I think we can merge this one as well.

[kunal-9090]

Thank you for reviewing and approving. The Vercel preview is blocked on team authorization, but the local checks and visual verification are complete from my side. Please let me know if any final changes are needed before merge.

[kunal-9090]

Hi @Vaibhav-kesarwani, I re-checked this PR today and confirmed it is still up to date with main.

Validation completed locally:

• pnpm install --frozen-lockfile
• pnpm lint
• pnpm build

Both lint and production build pass successfully. The PR is mergeable from GitHub's side; the only failing status is the Vercel preview authorization check, which needs team authorization from a maintainer.

Please let me know if any final change is needed. Otherwise, this should be ready to merge for GSSoC'26.