I believe you mow them before the seed head forms and thus they don't reproduce, also, hopefully in the mean time your sward will have put out more tillers so that any seeds still in the soil don't get the opportunity to germinate in future.
Just a general point as I'm not really involved in small scale chicken production - these things tend to work better (and your subsequent data analysis will be easier) if you direct people to a Microsoft forms or similar.
Why is that important? Captialism eats small businesses as the drive towards globalism continues. It is a system of exchange and as such is entirely without morals (as are the most successful capitalists) - it is up to peoples to enforce morals upon it (the basis of socialism).
You should be able to crook a limping ewe without a dog once you get the hang of it, sometimes cornering them is useful, other times its just a question of reflexes and approaching them from the right angle.
It's quite difficult to explain without showing you.
You'll need a leg crook/cleek.
And plenty do - it's quite staggering the way that it has affected some (very "healthy") people I know.
For example: PT mate of mine, bit older than me, think he's 41, ex light middleweight, sickeningly fit - got COVID in March, still can barely climb a flight of stairs.
Death rate isn't...