What are the permiest ways to get rid of ivy/brambles permanently?

The place: Catalunya, Spain about 5km inland from the Mediterranean near the town of Cubelles

The context: some time in the 1980s  a drunken excavator operator carved out the wrong part of the mountain so that the house had to be re-sited farther up the slope. When my mother-in-law complained he walked off the job and kept all of the money. Eventually the good sunny site was backfilled with construction rubble and English ivy was planted to hide the mess. The local birds and squirrels have helped plant a large briar through the mature ivy. A few fir trees volunteered recently, but it's mostly ivy and bramble. The home is in the greenbelt area of the development and is beside one of the never-built vacant lots offering alternative habitat for what's currently in this spot.

Present day: I would like to reclaim this steep area to grow better more useful things. It has been building up a soil layer from leaf litter for many years, but itsn't especially stable and I really don't know what all was dumped under there 40 years ago. I can picture a small apricot-guild orchard if I add some some terracing for stability and/or putting some solar panels there to help power the garage/workshop/house if what's underneath turns out to be a terror.

I wish I could rent a ruminant but absent a helpful goat I've been removing ivy and brambles by hand weekend after weekend. I don't want to fight ivy for the rest of my life. What are the permiest ways to get rid of ivy/brambles permanently? I'm also assuming that biochar when it has dried out would be better than trying to compost something so invasive, but I'm open to suggestions. This is a hard place to work since it's about ten feet above the ground story at its lowest point. The area will be frequently seen but infrequently walked upon once I've cleared and replanted it.

PS. I'm looking for recommendations for delicious apricot cultivars suitable to this area, too. Thanks, E

The permie way would be goats and/or pigs. Pigs will get the roots out.

Next step down is you manually removing them by hand, but this is a horrible job and likely to be futile if the roots go into rocky rubble.

Slightly less natural, but still a lot better than using sprays, is to put the whole area under thick black plastic weed barrier for 12 months or so. It's a super effective way, especially on awkward terrain that isn't well suit to other methods. You will still need to do some manual reduction initially to get the plastic to lay properly, but you won't need to get roots out. Even after 12 months you may find some very stubborn plants still alive, but you should be able to easily spot weed those few remaining ones. Avoid fabric weed barriers. The theory is they allow rain to percolate through, but in practice they degrade down to plastic fibres that end up polluting your soil for ever more. Proper thick black plastic will last decades and can be stored and used again as needed.

Sheep

Do they deliver free wood chips in your part of the world?

Cover the whole area with a thick layer of cardboard then have a load of wood chips on top of that.  3 to 6 inches probably...

Watch for stragglers to appear at the edges.