Issue when clientside callback is defined before public callback

Example app below. If the clientside callback is defined before the public callback the app crashes. If the order is reversed the app works as expected.

from dash import Dash, Input, Output, clientside_callback, dcc, html

from dash_auth import public_callback

app = Dash()
app.layout = html.Div(
    [
        dcc.Location(id="url"),
        html.Div(id="clientside-callback-output"),
        html.Div(id="public-callback-output"),
    ]
)


clientside_callback(
    "function (pathname) {return `Hello ${pathname} from clientside callback!`;}",
    Output("clientside-callback-output", "children"),
    Input("url", "pathname"),
)


@public_callback(
    Output("public-callback-output", "children"),
    Input("url", "pathname"),
)
def public(pathname: str) -> str:
    return f"Hello {pathname} from public callback!"


if __name__ == "__main__":
    app.run(debug=True)

Start with the provided example app and reproduce the crash by defining clientside_callback before public_callback, then reverse their order for comparison. Trace the public_callback and clientside_callback registration entry points; done means both callbacks register and the app runs without crashing regardless of definition order.