Have you tried barely mowing for 3 years?

That really helped get rid of my dandelions. We spent years pulling but their taproots can be pretty deep and break off.

It turns out that if you don’t give them a cut down monoculture lawn with no competition dandelions don’t thrive as much.

We’ve got some wild strawberry and white clover that have taken over parts of the yard. The strawberries are like the size of my pinky fingernail. The clover gets very bushy which is pleasant to walk in and the rabbits like eating the flowers.

The dandelions are severely reduced.