In the current implementation, we cache both storages (localStorage and sessionStorage) at the moment of
worker creation. Although this could be considered as performance optimization, it leads to the
implementation inconsistency:
- Storages data leaks into 3rd party script
- Storages easily go out of sync as there is no proper synchronization with main window setup.
- One can not override the storage access easily.

For the latter point, this means we can not take on the methods like `localStorage.getItem()` in the
Partytown proxy methods (specifically in `apply`). Hence there is no way to shield the storage data
from 3rd party scripts.

In this commit we fully rely on the storage values the main window sends into the worker. As the result,
we can always receive relevant value and also can override the storage api with `apply` and `get` hooks