Sampiro will be so proud! 
Pursuit. Not capture.
(btw, it’s “purfuit of happineff”, continuing the theme)
You know, the long s doesn’t really look like an f.
That’s right - at most, it only has a nubbin on the left-hand side of the stroke, not a line that crosses the stroke.
The Master speaks: Why did 18th-century writers use F inftead of S?:
Is Stan Freberg not only gone but forgotten now?
Ummmmm . . . “the long s doesn’t really look like an f”, supported by quoting an article that says they look a lot alike 
.
I’ll leave that argument alone, but point out that the long s wasn’t used in the final position, rendering the phrase, if one wants to read it that way, “purfuit of happinefs”.
Actually, looking at a ridiculously large (and slow-loading) blow-up of the actual document, it’s in a cursive script, and looks to read “pursuit of Happinefs”. The difference between long s and f seems to be that the downstroke of long s loops left and back up, while that of f loops right and back up.
ETA: Oh, yeah, on topic, I meant to also ask what’s going on in New Hampshire. I seem to recall that the bill has been reconciled between both houses of the legislature, and is awaiting the governor’s action, but I could be mistaken.