A search for the decay of a heavy Higgs boson $\text{H}$ into the observed Higgs boson $\text{h}$ and another Higgs boson $\text{h}_{\text{S}}$ with a mass of $m_{\text{h}_{\rm S}} < m_{\text{H}} - m_{\text{h}}$ is presented. The $\text{h}$ and $\text{h}_{\text{S}}$ bosons are required to decay into a pair of tau leptons and a pair of $\text{b}$ quarks, respectively. The search uses 137\,\text{fb}^{-1} of proton-proton collisions collected with the CMS detector at a center-of-mass energy of 13\,\text{TeV}. A mass range of 240 - 3000\,\text{GeV} for $m_{\text{H}}$ and 60 - 2800\,\text{GeV} for $m_{\text{h}_{\text{S}}}$ is covered. No signal has been observed. Therefore, model independent $95\%$ confidence level upper limits on the product of the production cross section and the branching fractions of the signal process are set ranging from 125\,\text{fb} (for m_{\text{H}}=240\,\text{GeV}) to 2.7\,\text{fb} (for m_{\text{H}}=3000\,\text{GeV}). These limits are compared to predictions of the next-to-minimal supersymmetric extension of the standard model.

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