Apologies for the slightly strange question, the answer to which may be extremely obvious, but I haven’t been able to find it.

I am flying LHR>SYD>LHR via FRA booked via LH and flying on a mix of LH, SQ and QF (LH LHR>FRA and FRA>SIN, SQ SIN>SYD, QF SYD>SIN, LH SIN>FRA and LH FRA>LHR). I have added my LH FFN for the flight but won’t get any miles for the SYD>SIN leg. This is shown as QF1 so is a QF marketed and operated flight.

Can I claim Avios and TP towards my BAEC account on this leg at all even though it was booked as part of a Star Alliance booking rather than a OneWorld booking, and if so, how would I go about this?