Congrats on your new plot
I think a realistic expectation is to weaken it and learn to live with it.
Chemical weedkillers won't work on it unless you bruise the foliage physically first, as it has a silica coating on its leaves which means the product runs straight off without being absorbed.
It has very deep roots and it is a prehistoric plant, which gives you some idea of its persistence!
But dig it out, and then keep regularly (e.g. weekly) hoeing, pulling or digging it out, which will weaken it over time.
It can be gardened alongside with success, I'm told.