In TraditionalForm output, I would like to have Conjugate be always displayed as an overbar, not an asterisk superscript. In particular for complicated expressions like `Conjugate[Log[z]]`, I would like to have a long overbar.

There are various solutions proposed in other threads, including the simplest version:

    Unprotect[Conjugate];
    Format[Conjugate[x_], TraditionalForm] := OverBar@Pane@x;
    Protect[Conjugate];

This gives the desired result, but *only the first time* I call `// TraditionalForm` on some output.

**How can I ensure that this new format rule is applied throughout the rest of my notebook?**

PS: As requested here a full MWE with Mathematica 13.0.1.0.

    Quit[];
    Unprotect[Conjugate];
    Format[Conjugate[x_], TraditionalForm] := OverBar@Pane@x;
    Protect[Conjugate];
    Conjugate[Log[z]] // TraditionalForm
    Conjugate[Log[z]] // TraditionalForm

I obtain the output

> $\overline{\log z}$
>
> $(\log z)^*$