Can Gradio only allow the same account to log in on one client? about gradio HOT 3 CLOSED

import gradio as gr

logged_in_users = set()

def add(request: gr.Request):
    username = request.username
    print("logged_in_users", logged_in_users)
    if username in logged_in_users:
        return gr.Markdown(f"Only 1 session at a time, {username}")
    logged_in_users.add(username)
    return gr.Markdown(f"Welcome, {username}")
    
def remove(request: gr.Request):
    logged_in_users.pop(request.username)


with gr.Blocks() as demo:
    m = gr.Markdown()
    demo.load(add, None, m)
    demo.unload(remove)
    
demo.launch(auth=[("a", "a"), ("b", "b")])

import gradio as gr

logged_in_users = set()

def add(request: gr.Request):
    username = request.username
    print("logged_in_users", logged_in_users)
    if username in logged_in_users:
        with gr.Blocks() as block:
            gr.Markdown(f"Only 1 session at a time, {username}")
        return block
    logged_in_users.add(username)
    with gr.Blocks() as block:
        gr.Markdown(f"Welcome, {username}")
    return block

def remove(request: gr.Request):
    if request.username in logged_in_users:
        logged_in_users.remove(request.username)

with gr.Blocks() as demo:
    demo.load(add, None, gr.Blocks())
    demo.unload(remove)

demo.launch(auth=[("a", "a"), ("b", "b")])