I can't help with the spray, but if that's a mulched area - my go to for killing anything underneath is to put down some plain cardboard on top then drop a good layer of mulch or compost on it. The cardboard will break down with time. I usually do this to kill off grass for new planting areas.
Edit: I looked up the Yates Moss and Algae product and it's just Benzalkonium Chloride which is the same as the green 30 Seconds stuff. You could try a product with a different active ingredient. Like this Kiwicare product: https://www.kiwicare.co.nz/product/lawnpro-mossclear/. Or try with a higher concentration in your sprayer.