Show user availability (groupware) on user profile page

[SVerkuil]

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Is your feature request related to a problem? Please describe.
We use nextcloud at our company. People who work part time fill in their availability in groupware (/settings/user/groupware). This is nicely integrated with the calendar, which shows if a user is available if you want to make an appointment. However, I would like to also see this availability info on a user profile page. Currently I have to create a new agenda item and invite the user to see if a user is available that day, better would be to just see this info on their profile so colleagues can directly look up when another colleague is available.

Describe the solution you'd like
The overview of user's availability should be shown on the users profile page for all other nextcloud users to see.

Describe alternatives you've considered
Alternatively we can create a 'magic calendar' with availability of people (based on groupware settings) which can be shown/hidden in the calendar UI.

Additional context
See screenshot below for current Nextcloud availability settings page. Please add a render of this info on the users profile page.

[alexanderdd]

@st3iny wrote in #44776 :

We discussed showing the availability on a profile but deprioritized it for now. The profile is meant to be a public/external thing and the availability should be shown internally.

Personally, I think the user profile is the right place to show availability. (additionally, it could be in calendar, but it is hard for me to imagine a good layout/UX - it should be respected for free/busy functionality though).
The profile page is already used for both, public information and information for logged in users. In /settings/user you can choose for every field if you want to show it publicly or only on your instance (all options are private/local/federated/published).

My proposal is to have the same toggle for the availabilty information: private/local/federated/published

What do you think?