Abstract In this paper, we perform a follow-up investigation of the solar eruption originating from active region (AR) 13575 on 2024 February 9.
The primary eruption of a hot channel (HC) generates an X3.4 class flare, a full-halo coronal mass ejection (CME), and an extreme-ultraviolet (EUV) wave.
Interaction between the wave and a quiescent prominence (QP) leads to a large-amplitude, transverse oscillation of QP.
After the \textbf{transverse} oscillation, QP loses equilibrium and rises up.
The ascending motion of the prominence is coherently detected and tracked up to $\sim$1.68 $R_{\odot}$ by the Solar UltraViolet Imager (SUVI) onboard the GOES-16 spacecraft
and up to $\sim$2.2 $R_{\odot}$ by the Solar Corona Imager (SCI\_UV) of the Lyman-alpha Solar Telescope (LST) onboard the ASO-S spacecraft.
The velocity increases linearly from 12.3 to 68.5 km s$^{-1}$ at 18:30 UT.
The sympathetic eruption of QP drives the second CME with a typical three-part structure. 
The bright core comes from the eruptive prominence, which could be further observed up to $\sim$3.3 $R_{\odot}$ 
by the Large Angle Spectroscopic Coronagraph (LASCO) onboard the SOHO mission.
The leading edge of the second CME accelerates continuously from $\sim$120 to $\sim$277 km s$^{-1}$.
The EUV wave plays an important role in linking the primary eruption with the sympathetic eruption.
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