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tokens: ACKNOWLEDGEMENTS The authors are grateful to the anonymous referee for a thoughtful report that helped improve the clarity of this work. AM was partly supported by an ‘ERASMUS+ for traineeship’ grant and partly by the NewCompStar network, COST Action MP1304. AM thanks the hospitality of the Anton Pannekoek Institute for Astronomy in Amsterdam, where most of this research was carried out. ND is supported by a Vidi grant awarded by the Netherlands Organization for Scientific Research (NWO). RW is supported by Top-1 grant from NWO. The authors acknowledge financial contribution from the agreement ASI-INAF I/037/12/0, as well as fruitful discussion with the international team ‘The disc–magnetosphere interaction around transitional millisecond pulsars’ at the International Space Science Institute, Bern. This work is partially supported by the HERMES Project, financed by the Italian Space Agency(ASI) Agreement n. 2016/13 U.O