The $\beta$-delayed spectroscopy of ${}^{80}\mathrm{Ge}$ has been studied using sources of ground and low-lying isomeric states of ${}^{80}\mathrm{Ga}$. A hybrid $\gamma$-ray spectrometer was used, composed of high-purity germanium (HPGe) detectors for low-energy $\gamma$-ray detection, phoswich detectors from the PARIS array for high-energy $\gamma$ rays and a plastic detector for $\beta$ tagging. The new decay level schemes are presented, with 13 and 14 states $\beta$ populated by ${}^{80g}\mathrm{Ga}$ and ${}^{80m}\mathrm{Ga}$, respectively, being reported for the first time. We quantitatively compare summed intensities of first-forbidden and previously reported Gamow-Teller $\beta$ transitions [R. Li et al., Phys. Rev. C 111, 034303 (2025)]. The upper-limit fractions of first-forbidden transitions contributing to the decays of ${}^{80g}\mathrm{Ga}$ and ${}^{80m}\mathrm{Ga}$ are ($48.0\pm 2.7$)$\%$ and ($47.9\pm 3.3$)$\%$ of the observed total $\beta$ transition intensities of ($78.2\pm 2.5$)$\%$ and ($82.2\pm 3.7$)$\%$, respectively. Notably, the half-lives decrease in accordance with the upper limits of ($48.0\pm 6.0$)$\%$ [3.67(20) s $\to 1.91\left(3\right)\mathrm{s}$] and ($47.9\pm 7.2$)$\%$ [3.01(19) s $\to 1.57\left(1\right)\mathrm{s}$] for ${}^{80g}\mathrm{Ga}$ and ${}^{80m}\mathrm{Ga}$, respectively, when including first-forbidden transitions, in contrast to those by Gamow-Teller transitions only.

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• Beta decay
• Collective levels
• Electromagnetic transitions
• Electroweak interactions in nuclear physics
• Energy levels
• Isomer decays
• Lifetimes & widths
• Nuclear astrophysics
• Nuclear forces
• Nuclear spin & parity
• Nuclear structure & decays
• Nucleosynthesis in explosive environments
• Shell model
• 59 ≤ A ≤ 89
• Radioactive beams
• Spectrometers & spectroscopic techniques