What is the process and paths that could move the material through the rock cycle until it again forms newly cooled igneous rock?

Answer 1

instead of what was here that was irrelevant here is a actual answer

a igneous rock can wither away and turn into a sedimentary rock then go under heat and pressure to turn into a metamorphic rock then melt into magma and cool turning it back to a igneous rock

Answer 2

The material starts as magma cooling and solidifying into igneous rock. It can then be weathered and eroded into sediment, which may be deposited and buried to form sedimentary rock through compaction and cementation. With further heat and pressure, the rock can metamorphose into metamorphic rock. Through uplift and exposure, the rock may undergo weathering and erosion again, completing the cycle by forming sediments that can be melted and become new igneous rock.