If you can spare 2 hours a day for the next 2 months, I think it is absolutely doable to reach B1. Honestly, I think you’re going to be in *really* good shape for B1 if you can stick to that much time per day – even if you could do 1.5 hours or mayyybe 1 hour per day, I think you can still hit that goal.
If you’re already familiar with the method and have used it for some grammar, I’d strongly recommend switching over to this version of Fluent Forever: https://fluent-forever.com/hacking-fluent-forever/
From 1 hour of italki lessons a week, I produce approximately enough new flashcards for a 1-hour-a-day Japanese habit. I’m not sure entirely how that would carry over to French, but I suspect you’ll want 2 or 3 hours of italki lessons per week (maybe start out with 2 per week).
In terms of content, I’d skip the 625 list, and jump straight to the Routledge Frequency Dictionary for French, generating personal example sentences with your tutor for every word you don’t know. Make them about your life – aside from making them more memorable, it’ll force you to actually *use* the words in a practical way, and it’ll increase your sentence complexity, so that you’ll be able to make a lot of flashcards from each sentence.