If I'm not mistaken, 6-in-1 includes everything in 5-in-1 and Hep B. Hence, you can switch to your PD after your baby completes the third 5-in-1 since she has taken her second Hep B. So your baby will be getting her final 6-in-1 at your PD's. Best to call your PD's clinic to check though. I'm not sure if my understanding is correct.
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There should not be any problems with the vaccinations if you switch over. Most combinations of hep B and the other vaccines are acceptable variations.
I think it's 5-in-1 followed by another 5-in-1 and final with 6-in-1 in your case.