Temples/Labs vs 1st turn seige

[StormCrow434]

Wondering about the following situation:

I control a province with a Fortress and I have ordered a Priest to 'Build Temple'. High probability that a big bad will invade the province and invest the Fortress this turn as well.

Will the Temple get built if I lose the Province fight, but retain control of the Fortress? I know that an existing Temple is not razed until the Fortress falls; so by the same logic (Temple inside the Fortress) the Temple would be built.

But can't go by logic when it is a coded result...

Same basic question would apply to a Lab being built.