Some Intel CPUs support partitioning the L3 cache between different workloads or VMs, Cache Allocation Technology (CAT). It's been supported since Haswell Xeon (v3), and apparently 11th-gen desktop/laptop CPUs.
Presumably you need to let each workload have some L3, probably even on Skylake-Xeon and later where L3 is non-inclusive, but you might be able to give it a pretty small share and still achieve your goal.
More generally, https://github.com/intel/intel-cmt-cat has tools (for Linux and somewhat for FreeBSD) for managing that and other parts of what Intel's now calling "Resource Director Technology (RDT)" for monitoring, CAT, and Memory Bandwidth Allocation. It also has a table of features by CPU.
What you describe would be literally impossible on a desktop Intel CPU (or Xeon before Skylake), as they use inclusive L3 cache: a line can only be in L2/L1 if it's in L3 (at least tags, not the data if a core has it in Modified or Exclusive state). Skylake-X and later xeons have non-inclusive L3 so it would be possible in theory; IDK if CAT lets you give one set of cores zero L3.
I don't know if any AMD or ARM CPUs have something similar. I just happen to know of the existence of Intel's hardware support for this, not something I've ever gone looking for or used myself.