Toolbar between panes show tabgroups, limit names to max amount characters shown

Is it possible to have the title length of each tabgroup name limited to display the first #-amount of characters. For example the first amount of 10 characters:

A tabgroup named: "Snippets & Coding", would display as "Snippets &..."
Ideally the user could set the max amount of characters shown.

I created a toolbar between the lister panes and created a button on it with the line:
Go TABGROUPLIST

If that requires to much scripting or is to complex, maybe as an alternative constrain the width of the middle toolbar, now it forces itself to the max width of the longest title name which makes sense but is not ideal.

EDIT: If possible, hovering over the tabname shows fullname.

There isn't a way to limit them (beyond the hardcoded limits on button labels, which are quite large).

Renaming them to something shorter is one option, since the names are up to you.

If there are only a few tab groups that don't change much, or you only want buttons for certain ones that you use a lot in that place, then you could create individual buttons for those items (instead of using Go TABGROUPLIST to auto-generate them), and use abbreviated names for the buttons while keeping the full names for the groups. (Assuming the groups are displayed in other places where you want to keep the names longer.)

Using a smaller or narrower font for the vertical toolbar is another option, although probably the least good one.

AH! Ok, thank you for those tips!
I just renamed the tabgroups, this also works!
Thank you!