RTSP video change with python scheduler

Question

I have 2 RTSP streams, I would like to change between them each minute and I would like to write the result into the same file (streaming.m3u8) and I would like embed HTML video tag. But the video change is not working.

import ffmpeg
import schedule
import time

def stream_1():
    packet_size = 4096

    process = (
        ffmpeg
        .input('rtsp://....')
        .output('streaming.m3u8', hls_time=3, hls_wrap=10)
        .run_async(pipe_stdout=True)
    )

    while process.poll() is None:
        packet = process.stdout.read(packet_size)
        try:
            tcp_socket.send(packet)
        except socket.error:
            process.stdout.close()
            process.wait()
            break

def stream_2():
    packet_size = 4096

    process = (
        ffmpeg
        .input('rtsp://....')
        .output('streaming.m3u8', hls_time=3, hls_wrap=10)
        .run_async(pipe_stdout=True)
    )

    while process.poll() is None:
        packet = process.stdout.read(packet_size)
        try:
            tcp_socket.send(packet)
        except socket.error:
            process.stdout.close()
            process.wait()
            break

schedule.every(1).minutes.do(stream_1)
schedule.every(2).minutes.do(stream_2)