Yes. The TP Regen card name in English is Spire. As a word, Spire is sort of synonymous to Tower, just a bit fancier word.
And in your scenario I'd either put it in hold to cast on the tank after taking changes with next card, cast it on ta k right away (yes, it uses the increased effect but by the time good card drops there might be something else good in RR) or RR it to get spread, hoping next card offers something that's good to spread. As with card games, I can't plan ahead to have cards I want, instead I need to plan and replan with cards I have, changing plans on the fly to adapt to the situation.
