$100/hr is $200K/yr or $350K to get you $200K after taxes.
Plus inefficiency or loss of fidelity to intent from the delegation, which adds a cost.
I'd think $450K - $600K income before this makes sense.
// Also note the contact and meeting management class of tasks require always on engagement. At that point, you're better off with your own company-supplied EA who is in the flow and can carry your personal prioritization prefs so you don't think about any part of that process.