[NPU] Un-skip DX12RemoteRunTests func tests (#35326)
### Details:
- *Un-skip DX12RemoteRunTests functional tests*
### Tickets:
- *N/A*
### AI Assistance:
- *AI assistance used: no / yes*
- *If yes, summarize how AI was used and what human validation was
performed (build/tests/manual checks).*
Signed-off-by: Bogdan Pereanu <bogdan.pereanu@intel.com>
