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tokens: ACKNOWLEDGEMENTS We thank James Bolton, Tirthankar Roy Choudhury, Harley Katz, Laura Keating, and Ewald Puchwein for helpful discussions. This work was supported by the ERC Advanced Grant 320596 ‘The Emergence of Structure During the Epoch of Reionization’. The ramses simulations presented in this paper were performed on the COSMOS Shared Memory system at DAMTP, University of Cambridge, operated on behalf of the STFC DiRAC HPC Facility. This equipment is funded by BIS National E-infrastructure capital grant ST/J005673/1 and STFC grants ST/H008586/1 and ST/K00333X/1. The aton radiative transfer simulations in this work were performed using the Wilkes GPU cluster at the University of Cambridge High Performance Computing Service ( http://www.hpc.cam.ac.uk/ ), provided by Dell Inc., NVIDIA, and Mellanox, and part funded by STFC with industrial sponsorship from Rolls Royce and Mitsubishi HeavyIndustries.