Fixing a troubled Clover/Chicory plot

I have an existing Clover/Chicory plot. It was established about 3 yrs ago. Last year it was doing great and just a bit of mowing to handle weeds.

I am going to blame all the rain this spring for my new issue with grass invasion.

So, do I spray with something like Pursuit, Glyphosate, Clethodim or 2,4-DB (butyrac)? I have no idea if these are all different or the same herbicide products, these are just what I have read about as recommended by others on line.

Once you kill, do you reseed with some kind of no-till clover? I was thinking about planting John's Overseed Mix to the plot but want to also add some chicory.... Will it grow if I just broadcast? I can't really assure great soil contact if I am not breaking the ground up.... Maybe some localized raking. Oh, do I wait to seed till after the grasses die? I assume yes.

Can I kill and replant now?

Thanks,

Bill