[NPU] Update test config for `WeightsSeparationTests` (#33735)
### Details:
- *NPU default compiler type was recently updated (DRIVER is not default
compiler type anymore)*
- *Need to specify compiler-in-driver for
`WeightsSeparationTests/CheckOneShotVersionThrows` (test designed for
compiler-in-driver scenario).*
### Tickets:
- *ticket-id*
