The picker took `available` in feed order — whichever game happened to hold
the first event row — which means something everywhere else in the app and
nothing on this screen, where the reader is scanning for the two or three
names they already know.
Sorted on the name printed on the button rather than the LaneId, since the id
is not what a reader sees, and through localeCompare rather than `<`, because
a code-point sort files hololive Dreams after every capitalised game instead
of between Genshin and Honkai.
Co-Authored-By: Claude Opus 5 (1M context) <[email protected]>
