Trees don't permently sequester carbon. A forest is a bunch of bound up stuff, but since fungi can now digest trees when they die they don't become coal anymore.
So unless you want to make the surface of the earth rainforest somehow you would need to bury trees in a sealed sterile mine or something. Or you could just do that directly.
Carbon capture is kinda dumb though, coal and oil are what ideally captured carbon looks like. We should focus on not digging that up and burning it.