  We report new constraints on axion-like particle (ALP) using data
corresponding to a sodium iodine target exposure of 3063 kg$\cdot$days from the
neutrino elastic scattering observation with NaI (NEON) experiment. A 16.7 kg
of thallium-doped sodium iodide target was located 23.7 meters from a 2.8 GW
thermal power nuclear reactor. We searched for ALPs produced by high-flux
photons by comparing the energy spectra of data collected during reactor-on
(1596 kg$\cdot$days exposure) and reactor-off (1467 kg$\cdot$days exposure)
periods. No signal consistent with ALP interaction was identified, allowing us
to set exclusion limits at the 95% confidence level. Our limits cover
previously unexplored regions for both photon couplings (${g_{a\gamma}}$) and
electron couplings (${g_{ae}}$) for axion masses around 1 MeV/c$^2$. Notably,
the NEON data excludes the unconstrained region identified by laboratory-based
searches for photon couplings within the "cosmological triangle" for the first
time. The observed 95\% confidence level limits reach as low as ${g_{a\gamma}}$
of 4.33$\times$ 10$^{-8}$ GeV$^{-1}$ and ${g_{ae}}$ of 1.10$\times$ 10$^{-9}$
for axion masses of 1.7 MeV/c$^2$ and 1.0 MeV/c$^2$, respectively.
