Botanical name: Caryopteris xclandonensis
Common names: Bluebeard, Blue Spirea, Blue Mist shrub
Family: Lamiaceae
USDA Plant Hardiness Zone Map
Caryopteris xclandonensis likes full sun to part shade and very well-drained soil that is not overly rich.
It's an attractive woody shrub with dark green leaves, dark purplish blue flowers, and a compact habit. Misty blue flowers appear in late summer and early autumn.
Similar plants: Caryopteris xclandonensis (Bluebeard)
Link to this plant:
https://toptropicals.com/catalog/uid/caryopteris_clandonensis.htm