Can't say for initial synchronization, but my nose runs on a Debian 12 container with less than 2GB of RAM. Currently, 1.2 in use.
Heck... These typos 🙄 My *node* runs. Not my nose.
https://image.nostr.build/9d1c22c00782539b086734b9fac30557196b1e8922a8650bbb76c175da6c1686.gif