Improve `with-algolia-react-instantsearch` example and convert to TypeScript

[maxproske]

Converted to TypeScript to match Contribution docs, and updated/simplified the example.

• Replaced stylesheets in Head component with imported styles
• Removed style-loader, css-loader, cross-env, prop-types packages
• Removed custom webpack config

Documentation / Examples

• [X] Make sure the linting passes by running pnpm build && pnpm lint
• [X] The "examples guidelines" are followed from our contributing doc