integ: announce each kit fake as it starts and time-box the schema push

The launcher announced the whole fleet only once every fake was up, so a
startup that stalled left CI with sixty seconds of empty log and "only 0
of 14 endpoints came up", twice in two days, with nothing to say which
fake it was waiting on. Announce per fake instead, in config order, so
the log names the one after the last line.

The per-fake prisma db push is the one synchronous spawn on that path;
give it a timeout and carry the CLI's stderr on the error, since a
killed spawn's message says only ETIMEDOUT.