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Their emission is also especially revealing of the astrophysical properties of the source. Being light, neutral and weakly-interacting particles, they can travel unperturbed over cosmic distances, overcoming the limits of electromagnetic radiation (absorption) and charged particles (deflection by magnetic fields). Neutrinos in particular emerge as a formidable cosmic messenger. The perspective has been widened further by multi-messenger astronomy, with the notable discoveries of gravitational waves and of the astrophysical neutrino flux. Astronomy has developed consequently, first with the exploration of the non-visible portion of the electromagnetic spectrum known as multi-wavelength astronomy. Since the discovery of the cosmic-ray radiation at the beginning of the 20th century, the hunt for their sources has been driving the research into the most energetic phenomena in the Universe. The measured parameters include the initial dimensionless specific enthalpy density ($\eta$), bulk Lorentz factors at the photosphere radius ($\Gamma_$ parameter (typically unity) is specified. We propose a method to directly dissect the GRB fireball energy budget into three components and measure their values by combining the prompt emission and early afterglow data. a fireball), the GRB prompt emission spectra would include a dominant thermal component originating from the fireball photosphere, and a non-thermal component presumably originating from internal shocks whose radii are greater than the photosphere radius. If the jet composition is matter-dominated (i.e. The jet composition and radiative efficiency of GRBs are poorly constrained from the data. A specific analysis of archival IceCube data in this direction and future observations would put a further constraint on the origin of the neutrino. The jet properties of GB6 J2113+1121 are investigated, which are found to be comparable with that of the neutrino-emitting blazars (candidates). Motivated by the spatial and temporal coincidence, we suggest that GB6 J2113+1121 is a candidate of the counterpart of IceCube-191001A. Meanwhile, violent infrared and optical flares of GB6 J2113+1121, unobserved before, have been simultaneously detected. When IceCube-191001A arriving, GB6 J2113+1121 is undergoing the strongest gamma-ray flare since the start of the Fermi-LAT operation, with a variability amplitude as high as over 20-times. Instead, at the edge of the 90% confidential level error region of this neutrino there is a gamma-ray transient source spatially coincident with the blazar GB6 J2113+1121. In this work we have revisited the Fermi-LAT data in the direction of the neutrino and confirmed no signal at the site of AT2019dsg. A radio-emitting tidal disruption event (AT2019dsg) is proposed as a likely counterpart of the IceCube neutrino event IceCube-191001A.