update dependencies and devDependencies in package.json, modify tsconfig.json for improved configuration

- Upgraded @mdx-js packages to version 3.1.1 and @next/mdx to 16.0.7
- Updated @tailwindcss/typography to 0.5.19
- Upgraded @vercel/analytics and @vercel/speed-insights to latest versions
- Updated lucide-react, motion, next, next-themes, react, react-dom, and tailwind-merge to their latest versions
- Updated devDependencies: @eslint/eslintrc, @tailwindcss/postcss, @types/node, eslint, eslint-config-next, eslint-config-prettier, eslint-plugin-prettier, prettier, prettier-plugin-tailwindcss, and tailwindcss

- Changed jsx option from 'preserve' to 'react-jsx'
- Reformatted lib and paths for better readability
- Added .next/dev/types/**/*.ts to the include section

Author: algotyrnt