Currently TwoPunctures offers several options for setting the initial lapse. None of these options are compatible with Slow-Start Lapse [arXiv:2404.01137, Phys. Rev. D 110, 064045 (2024)], which requires that the initial lapse be set to W=(psi+u)^{-2}.

Here is the PR that resolves this issue:
https://bitbucket.org/einsteintoolkit/einsteininitialdata/pull-requests/21

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Ticket URL: https://bitbucket.org/einsteintoolkit/tickets/issues/2887/twopunctures-does-not-support-slow-start