If there is an explicit parking area for e-scooters ("small electric vehicles"), you can have a look an the example on this page: https://wiki.openstreetmap.org/wiki/Berlin/Verkehrswende/How-To-Map - look for "E-Scooter-Abstellplatz". There is a link to this example: https://wiki.openstreetmap.org/wiki/File:Parkfl%C3%A4che_Elektrokleinstfahrzeuge_Potsdamer_Platz_Berlin.jpg (OSM: https://www.openstreetmap.org/way/1020391779)

"amenity=small_electric_vehicle_parking" sounds like a poor tag syntax, but it's compatible with the Scooter-/small electric vehicle Proposal (https://wiki.openstreetmap.org/wiki/Proposed_features/ElectricScooters). There is also a proposal to just use "small_vehicle_parking" to group different forms of "small" vehicles/scooters, but this approach has not become widespread in the last year or two. The other tagging has become more widespread.

An other approach is to add "small_electric_vehicle=designated" to an "amenity=bicycle_parking", like in the example on the Electric Scooter Proposal page (https://wiki.openstreetmap.org/wiki/Proposed_features/ElectricScooters). But since this areas are primarily intended for scooters (because there are no stands for bicycles), I prefer the strange "amenity=small_electric_vehicle_parking" tagging...