Two different networks with the same wallet

Hello there o/
I’m currently plotting and farming on one system.
My friend just bought his for the same purposes.

We share the same key but after the 1st synchronisation was done his status stayed “not synced” for a while (24hours). I’ve search everywhere for a double networks with same wallet issues with synchronization but all I can find is questions about local networks.

  • Is it possible to farm and plot on two systems at the same time sharing the same wallet?

  • Or we should just make different wallets and farm and plot on our own? And if we do so are we keeping the same odds of reward as if we used the same wallets?

Thank you so much for your time.