Make the tests pass on a busy host (closes #240)

Tests that wait on the real clock failed when the host stalled for a few seconds, although the code was right. Waits for something that should happen are now mostly 15 seconds. Tests whose result depends on a short idle timeout or a production request limit run under `synctest.Test`, on a fake clock, with a fake transport where a real connection would stop that clock. Test code only.

Judgement call: the 5-second waits in three `internal/streamer` tests also became 15 seconds.

Model: opus-5-5

TODO.md

@@ -53,6 +53,9 @@ problem the run finds.
 
 # Completed Steps
 
+- 2026-11-10: the tests no longer fail when a busy host stalls for several
+  seconds. Most such waits are now 15 seconds. The test of the stream's idle
+  timeout runs on a fake clock (closes #240)
 - 2026-11-10: the IP lookup checks the public VPN server lists of Mullvad,
   NordVPN, Private Internet Access and IVPN, and X4BNet's community list. Each
   result has `flags.is_vpn` and `vpn_providers` (closes