[websocket]losing message when socket openning

### Describe the bug

When using ws, the message sent immediately inside the server connection callback is sometimes not received by the client, while the later message sent after a timeout is received correctly.

### Reproduction

_No response_

### Expected behavior

```javascript
const WS = require('ws');

const ws = new WS.Server({
port : 8080
});

ws.on("connection", (i) => {
i.send("hello world"); //this one is lost
setTimeout(() => {
i.send("hello world 2"); //this one is ok
}, 1000);
});
```
```json
"@tauri-apps/plugin-websocket": "^2.4.2"
```

### Full `tauri info` output

```text
[✔] Environment
- OS: Windows 10.0.26200 x86_64 (X64)
✔ WebView2: 150.0.4078.83
✔ MSVC: Visual Studio Community 2022
✔ rustc: 1.95.0 (59807616e 2026-04-14)
✔ cargo: 1.95.0 (f2d3ce0bd 2026-03-21)
✔ rustup: 1.29.0 (28d1352db 2026-03-05)
✔ Rust toolchain: stable-x86_64-pc-windows-msvc (default)
- node: 22.18.0
- pnpm: 10.25.0
- npm: 10.9.3

[-] Packages
- tauri 🦀: 2.8.2
- tauri-build 🦀: 2.4.0
- wry 🦀: 0.53.1
- tao 🦀: 0.34.2
- @tauri-apps/api : 2.8.0 (outdated, latest: 2.11.1)
- @tauri-apps/cli : 2.8.1 (outdated, latest: 2.11.4)

[-] Plugins
- tauri-plugin-dialog 🦀: 2.4.0
- @tauri-apps/plugin-dialog : 2.4.0 (outdated, latest: 2.7.2)
- tauri-plugin-clipboard-manager 🦀: 2.3.0
- @tauri-apps/plugin-clipboard-manager : 2.3.0 (outdated, latest: 2.3.2)
- tauri-plugin-http 🦀: 2.5.2
- @tauri-apps/plugin-http : 2.5.2 (outdated, latest: 2.5.9)
- tauri-plugin-process 🦀: 2.3.0
- @tauri-apps/plugin-process : 2.3.0 (outdated, latest: 2.3.1)
- tauri-plugin-websocket 🦀: 2.4.1
- @tauri-apps/plugin-websocket : 2.4.2
- tauri-plugin-os 🦀: 2.3.1
- @tauri-apps/plugin-os : 2.3.1 (outdated, latest: 2.3.2)
- tauri-plugin-fs 🦀: 2.4.2
- @tauri-apps/plugin-fs : 2.4.2 (outdated, latest: 2.5.1)
- tauri-plugin-opener 🦀: 2.5.0
- @tauri-apps/plugin-opener : 2.5.2 (outdated, latest: 2.5.4)

[-] App
- build-type: bundle
- CSP: script-src 'self' 'wasm-unsafe-eval'; img-src 'self' asset: http: https: blob: data:
- frontendDist: ../dist
- devUrl: http://localhost:1420/
- framework: Vue.js
- bundler: Vite
```

### Stack trace

```text

```

### Additional context

_No response_

Start with the @tauri-apps/plugin-websocket 2.4.2 connection flow and reproduce the server callback case using the supplied JavaScript example. Compare delivery of the message sent immediately with the delayed message; done means the first message is reliably received by the client when the connection opens.

Written by the indexing model from the issue text.