They're pretty quick and will flower this year. Don't know about the tubers, I just grew them for the year and didn't like them
agastache isn't a mint. it's just in a huge family that includes mint.
I don't think it looks like ivy.
Could you do another photo of just the plant, from the side, and another from the top.
just the plant, no fingers, though good for scale it alters the way a plant looks.
HF spreads though roots, I think you'd be OK with cuttings from healthy plants
If it's one of those plants listed and the leaves smell it will be the agastache.
OK, filed in the memory (maybe)
Still looks like one of the leucothoes
I know my alphabet pp
Leucothoe begins with an L