Looks like plumbago to me. There is also a white plumbago.

no scale... in adrian MI ... the annual i call the bachelor buttons... or corn flowers .. and they are just over an inch wide .. wiki says: Centaurea cyanus the perennial .. lol.. i call a perennial bachelor button ... but it is at least 2 inches wide ... i am sure the latin will come to me in a day or two ... if you buy the blue seed... which i did a decade ago [when i moved to this house] ... it reseeds tamely.. and the finches are entertaining.. watching them trying to land on them ... but over time.. the seed will denigrate.. so that though most are still blue.. you will have some white and purple ones ... an annual i have not been without.. for 35 years .. in the garden ... ken ps: i googled: perennial bachelor button.. i see it was consistent with their suggestion.. but i must have had it under some old name .. Here is a link that might be useful: link

Maybe I'm seeing cup plant everywhere I look, but that's what I think you have - Silphium perfoliatum. That strong square stem, the Jurassic leaves - see what you think at the link. Here is a link that might be useful: Take a look

I believe it's Mirabilis jalapa, 4 o'clocks.