* Fix too short timeouts for Synology NAS
With Home Assistant Core 2025.12.x updates available the STARTUP_API_RESPONSE_TIMEOUT that HA supervisor is willing to wait (before assuming a startup failure and rolling back the entire core update) seems to be too low on not-so-beefy hosts. The problem has been seen on Synology NAS machines running Home Assistant on the side (like in my case). I have doubled the timeout from 3 to 6 minutes and the upgrade to Core 2025.12.1 works on my Synology DS723+. My update took 4min 56s -- hence the timeout increase was proven necessary.
* Fix tests for increased API Timeout
* Increase the timeout to 10 minutes
* Increase the timeout in tests
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Co-authored-by: Jan Čermák <sairon@users.noreply.github.com>