Joomla login text label login/logoff and login button on mobile menu

[SoundHunter1]

Hi all,

I do miss an option, maybe I overlook it but when I set under Joomla Login the option Login Text I would have a option to change the text after login to "Logoff".
Now I set the module to Login but it looks strange when someone has logged in that it keeps saying "Login".
So for the text part also something like the Display when? option: text when user logged in and text when user logged out.

If there is another option to do this on a good way I do of course like the hear!

Other question about this, how can I add this Joomla Login part on the mobile menu? This could by the "person symbol" only.
The color mode option is visible in the mobile menu but I also like the signin option there.

Thank you!