Congrats for using an ATM for the first time! Feels great, doesn't it?
In Romania we still have some ATMs that let you purchase at 0% commission/fee - basically at spot price. There are only few that let you do so, but I believe there are many around Europe that have zero commission as well. But unfortunately, most ATMs do have annoying commissions especially if you want to sell your coins.
$2,000 lifetime per phone number, but you can always bypass the limitation by buying Lyca mobil SIM card (you can use it about 2 weeks before to be forced to send your ID to continue to use but in UK and NL there is no such, and users sell them here), a virtual phone number or anything else. The nightmare starts when the machine needs to scan your ID.
Unless this is written in their terms and conditions, I would not try to make use of multiple mobile numbers in order to bypass it. Some ATMs verify each transaction manually, live - and take a snapshot of your face while purchasing/selling. That means if you go to the same ATM with 3 different phone numbers, chances are they'll find out you seem to be a familiar face and you may have a little big unpleasant surprise (KYC).
It's a shame the limit is not per day but a lifetime one. Same goes for purchasing precious metals in Europe right now; there is a lifetime purchasing limit before you are asked for documents that's been introduced.