Communicating with two devices over BLE UART in python using bleak

Unfortunately, I don't have any experience with async programming, so it took me quite some time to get my code running on a Raspberry Pi 5 4GB (with bookworm 2025-05-13 OS) to communicate with one BLE device (Raspberry Pi Pico 2W running micropython and ble_simple_peripheral):

import asyncio
from bleak import BleakClient
from bleak.backends.characteristic import BleakGATTCharacteristic
from bleak.backends.device import BLEDevice



UART_SERVICE_UUID = "6E400001-B5A3-F393-E0A9-E50E24DCCA9E"
UART_RX_CHAR_UUID = "6E400002-B5A3-F393-E0A9-E50E24DCCA9E"
UART_TX_CHAR_UUID = "6E400003-B5A3-F393-E0A9-E50E24DCCA9E"



async def BLE_send(data):
    device="2C:CF:67:D2:CA:2F" # MAC address RasPi Pico2W
        
    def handle_disconnect(_: BleakClient):
        print("Disconnected", BleakClient)
        # cancelling all tasks effectively ends the program
        for task in asyncio.all_tasks():
            task.cancel()

    def handle_rx(_: BleakGATTCharacteristic, data: bytearray):
        print("received:", data)

    async with BleakClient(device, disconnected_callback=handle_disconnect) as client:
        await client.start_notify(UART_TX_CHAR_UUID, handle_rx)

        print("connected")

        loop = asyncio.get_running_loop()
        nus = client.services.get_service(UART_SERVICE_UUID)
        assert nus is not None, "UART service not found"
        rx_char = nus.get_characteristic(UART_RX_CHAR_UUID)
        assert rx_char is not None, "UART RX characteristic not found"
        await client.write_gatt_char(rx_char, data, response=False)

        print("sent:", data)
     
data=b"rb10\n"

try:
    asyncio.run(BLE_send(data))
except asyncio.CancelledError:
    print("")
    pass      

This can probably be done much better, but for one device it does what I want it to do.

I now need to communicate with a second (Pi Pico2W) peripheral and - owing to my ignorance - I haven't been able to get this working. I have tried many things, and it would not be efficient to list them all.

Would be great if someone could tell me how the code has to be modified/optimized to communicate with two devices (as synchronous as possible).