Using SSH private keys with git and IntelliJ's "IDEA ssh" on Windows

Due to an unfortunate incident with my Linux laptop, I'm stuck working on my Windows gaming rig for a while. That is, of course, an adventure in itself; tonight's adventure was to get private SSH keys working on Windows when using IntelliJ's Git integration.

First step, of course, was to try Pageant. No dice. Then I tried choosing "native ssh" - that just made IntelliJ hang (with no way to cancel - really nice GUI there, guys).

Then the shoe dropped; maybe it pretends to be a "real" ssh client? One short check of my Windows home directory later I'd dropped my id_rsa private key file in %USERPROFILE%/.ssh, and IntelliJ happily picked it up.