It does not look burned.
I would tease apart the connection end and see if you can find the open.
If you can;t that is still a very simple 4 pole concentric coil single phase winding.
This is what you start with when you apprentice in the motor shop...
If you really wanted it bad enough you could buy some magnet wire and rewind it yourself.
Of call a motor shop!
Get a quote for rewind.
That is not a complicated motor, if business is quiet they might do it just as busy work