

You just solve it as per the blog post, because it’s trivial to solve, as your browser is literally doing so in a slow language on a potentially slow CPU. It’s only solving 5 digits of the hash by default.
If a phone running JavaScript in the browser has to be able to solve it you can’t just crank up the complexity. Real humans will only wait tens of seconds, if that, before giving up.
I picked zoho.com free tier, with an eu.org domain after scanning through a set of different options. No marketing appended to emails and only throttles on excessive sending instead of hard limits. Each service sends from its own address.
purelymail.com was my backup paid option if the free plans were no good, with the advanced pricing and low usage the cost would be miniscule.