As others have said you have basically no chance in finishing by september/october, you probably wouldn’t even be able to book a test then even if you were ready to take it.
Personally i did 1 hour a week of lessons, mine were £23, so it took about 9 months altogether, i think i had somewhere between 30-35 lessons and passed first time and i did no practice in like my parents car or anything. As someone else has said the average is 45 lessons + 20 hours practice with a family member but tbh i don’t think it takes a lot of people that long. Like i say i had 35 hours driving max and i wouldn’t say that i was a very confident or good driver as such and i passed fine.
You can take the test anytime, as in you don’t have to have had a certain amount of lessons, but obviously if you haven’t had enough lessons and aren’t up to scratch then you won’t pass. And it’s expensive to take the test. I’ve seen people on here say they’ve passed with only 15 hours of lessons, no idea how tbh but i guess some people are just naturally good at it, and others can take like 2 years to pass, so like 100+ hours of lessons and multiple tests.
You really can’t know how long it’ll take until you start and see how confident you are. But a way to speed up the process definitely would be to have either a 2 hour lesson a week or two 1 hour lessons a week.