### Godot version

v4.1.stable.official [970459615]
EDIT: Also v4.1.1.stable.official [bd6af8e0e]

### System information

Godot v4.1.stable - Windows 10.0.19045 - Vulkan (Compatibility) - NVIDIA GeForce GTX 1060 6GB (NVIDIA; 31.0.15.3640) - Intel(R) Core(TM) i5-7400 CPU @ 3.00GHz (4 Threads)

### Issue description

Using HTTPRequest `request()` on a Web export with `accept_gzip = false` on an API that can use compression results in a RESULT_CANT_CONNECT error `[2, 0, [], []]`. This does not happen on any other export nor can I find a reason for it to fail as the API in question can also return uncompressed data if the `Accept-Encoding` header is not used.

### Steps to reproduce

```
var http:HTTPRequest = HTTPRequest.new()
add_child(http)
http.accept_gzip = false
http.request("https://dev.playkantti.fi/ok.php")
var result = await http.request_completed
print(result)
```
The result of this code will be normal on every export except on Web where it will be `[2, 0, [], []]`. You can also use the project and web export below to try it out. It's a bit more visual than the code above.

### Minimal reproduction project

Web export: https://dev.playkantti.fi/
Project: [NetworkTest.zip](https://github.com/godotengine/godot/files/12013294/NetworkTest.zip)
if (last_polling_frame == Engine::get_singleton()->get_process_frames()) {
				WARN_PRINT("HTTPClientWeb polled multiple times in one frame, "
						   "but request cannot progress more than once per "
						   "frame on the Web platform.");
			}
			last_polling_frame = Engine::get_singleton()->get_process_frames();
#endif
			polled_response_code = godot_js_fetch_http_status_get(js_id);
			godot_js_fetch_state_t js_state = godot_js_fetch_state_get(js_id);
			if (js_state == GODOT_JS_FETCH_STATE_REQUESTING) {
				return OK;
			} else if (js_state == GODOT_JS_FETCH_STATE_ERROR) {
				
				status = STATUS_CONNECTION_ERROR;
				return ERR_CONNECTION_ERROR;
			}
			if (godot_js_fetch_read_headers(js_id, &_parse_headers, this)) {
				
				status = STATUS_CONNECTION_ERROR;
				return ERR_CONNECTION_ERROR;
			}
			status = STATUS_BODY;
			break;
		}
		default:
			ERR_FAIL_V(ERR_BUG);
	}
	return OK;
}
HTTPClient *HTTPClientWeb::_create_func() {