docs: update elysia integration

[`Request`]: https://developer.mozilla.org/en-US/docs/Web/API/Request

[`Response`]: https://developer.mozilla.org/en-US/docs/Web/API/Response

ElysiaJS

--------

*This API is available since Fedify 1.8.0.*

[ElysiaJS] is an ergonomic framework designed for humans, featuring built-in TypeScript support with end-to-end type safety, type integrity, and an exceptional developer experience. Powered by Bun, it delivers high performance and modern tooling. The @fedify/elysia package provides a seamless plugin for integrating Fedify with Elysia:

elysia:

::: code-group

~~~~ sh [Bun]

bun add @fedify/elysia

~~~~

:::

~~~~ typescript

import { fedify } from "@fedify/elysia";

import { federation } from "./federation.ts";  // Your `Federation` instance

import { Elysia } from "elysia";

const app = new Elysia();

app

  .use(fedify(federation, () => "context data goes here"))

  .listen(3000);

console.log("Elysia App Start!");

~~~~

[ElysiaJS]: https://elysiajs.com/

# Elysia with Bun runtime

Fedify–Express integration example

==================================

## Getting Started

To get started with this template, simply paste this command into your terminal:

```bash

bun create elysia ./elysia-example

```

This is a simple example of how to integrate Fedify into an [ElysiaJS]

application.

## Development

To start the development server run:

```bash

bun run dev

```

[Express]: https://elysiajs.com/

Open http://localhost:3000/ with your browser to see the result.

 No newline at end of file

Running the example

-------------------

 1. Clone the repository:

    ~~~~ sh

    git clone https://github.com/fedify-dev/fedify.git

    cd fedify/examples/elysia

    ~~~~

 2. Install dependencies:

    ~~~~ sh

    bun install

    ~~~~

 3. Start the server:

    ~~~~ sh

    bun start

    ~~~~

# Elysia with Bun runtime

<!-- deno-fmt-ignore-file -->

## Getting Started

To get started with this template, simply paste this command into your terminal:

```bash

bun create elysia ./elysia-example

```

@fedify/express: Integrate Fedify with Express

==============================================

## Development

To start the development server run:

```bash

bun run dev

```

[![npm][npm badge]][npm]

[![Matrix][Matrix badge]][Matrix]

[![Follow @fedify@hollo.social][@fedify@hollo.social badge]][@fedify@hollo.social]

Open http://localhost:3000/ with your browser to see the result.

 No newline at end of file

This package provides a simple way to integrate [Fedify] with [Express].

The integration code looks like this:

~~~~ typescript

import { fedify } from "@fedify/elysia";

import { federation } from "./federation.ts";  // Your `Federation` instance

import { Elysia } from "elysia";

const app = new Elysia();

app

  .use(fedify(federation, () => "context data goes here"))

  .listen(3000);

console.log("Elysia App Start!");

~~~~

[npm]: https://www.npmjs.com/package/@fedify/elysia

[npm badge]: https://img.shields.io/npm/v/@fedify/express?logo=npm

[Matrix]: https://matrix.to/#/#fedify:matrix.org

[Matrix badge]: https://img.shields.io/matrix/fedify%3Amatrix.org

[@fedify@hollo.social badge]: https://fedi-badge.deno.dev/@fedify@hollo.social/followers.svg

[@fedify@hollo.social]: https://hollo.social/@fedify

[Fedify]: https://fedify.dev/

[Express]: https://expressjs.com/