So, as I understand it, you 0wn a machine in one organization, then use it to tunnel over to Wi-Fi in the building next door, 0wn another machine there, rinse and repeat until you've created the world's least consensual mesh network?
They are exploiting that Wifi didn't have 2fa, because they couldn't overcome 2fa. A company accross the street had a machine that both was accessible by ethernet and wifi and they used that as a bridge. Conclusions: 1. Anything that doesn't have 2fa is leaking like a sieve. 2. The targeted company needs to implement 2fa for their Wifi as well. Not mentioned, but I assume that their 2fa is using specialised hardware…
A separate VPN, with MFA, should be required to access anything.