One wouldn't really learn much flying every day for 45 days in the row, me thinks.
Took me just about 10 months to get the PPL in an extremely relaxed pace. And the bloody winter too, of course!
Got the medical in 3 weeks time (you only need it by the first solo day)
Also remember that stuff like flight test appoitement alone could take a few weeks, depending on the season.
I would give it at least 3 months, preferrably from June to September when the WX is good.