>>> Please provide an option to dynamically shorten at least
>>> automatic tab labels in order not to overflow the tab bar into
>>> another line OR provide an option with sensible default for the
>>> max length of automatic tab labels (e.g. 23 characters per tab
>>> label would allow for at least 3 tabs on a 80 char terminal) OR
>>> something to such effect.
>>
>> Maybe such a new option:
>>
>>   (defcustom tab-bar-tab-name-max 23
>>
>> and using it on the default values of tab-bar-tab-name-current,
>> tab-bar-tab-name-current-with-count, tab-bar-tab-name-all?
>
> yes, this would be helpful for me.

I'm still not sure whether to use the new option in all functions above,
or add a new function that truncates the name.  It seems the latter is
better: