On the face of it, your point is valid, just like on the face of it landing rockets is too complicated. Both are likely solved the same way - active management by responsive computers to negate environmental effects to behave in a stable manner in an unstable environment. This idea certainly wouldn’t have worked 100 or even 50 years ago, but may be quite possible now.
Pic looks good. Probably the best option is to trim that cord a little past that break, remove the broken section, and insert the trimmed cord and reattach it to the trimmer. This will probably require soldering, and will definitely require opening the case. A picture of the trimmer with any visible screws shown will help to determine how feasible this is. You will require some solder, a soldering iron, and some flux. If you haven’t done soldering before, this could be the most forgiving project to learn it on. Electrical soldering is pretty easy, electronics are fairly precise.