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The authors acknowledge contributions in the form of small formalization additions,
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The authors are grateful to Asgar Jamneshan, Rajula Srivastava and Christoph Thiele for writing the mathematical paper [cite] and the blueprint [cite] on which this formalization is based.
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We furthermore acknowledge contributions in the form of small formalization additions,
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pointing out corrections to the blueprint,
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or supplying ideas to the Lean efforts by the following people:
L.B., M.I.d.F.F., L.D., F.v.D., M.R., R.S., and C.T. were funded by the Deutsche For\-schungs\-gemein\-schaft (DFG, German Research Foundation) under Germany's Excellence Strategy -- EXC-2047/1 -- 390685813.
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L.B., R.S., and C.T. were also supported by SFB 1060.
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A.J. is funded by the T\"UBITAK (Scientific and Technological Research Council of T\"urkiye) under Grant Number 123F122.
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L.B., M.I.d.F.F., L.D., F.v.D., M.R. were funded by the Deutsche For\-schungs\-gemein\-schaft (DFG, German Research Foundation) under Germany's Excellence Strategy -- EXC-2047/1 -- 390685813.
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L.B. was also supported by SFB 1060.
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J.R. was supported in part by NSF grant DMS-2154835 and a HIM fellowship for the Fall 2024 trimester program in Bonn.
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\section{The Metric Space Carleson theorem}\label{sec:main_thm}
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