Do I need to archive the signal after the take profit order is executed to avoid that Anny entries it again when the entry zone is reached?

The auto invest only runs once when the signal is posted.

There is no need to archive the signal. It will expire and Anny will archive it during the daily "cleaning".

But if the Take Profit is on and you activate the signal back (doing a manual entry) on the same day, Anny will exit automatically.