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We report the identification of 64 new candidates of compact galaxies,potentially hosting faint quasars with bolometric luminosities of$L_\mathrm{bol} = 10^{43}$--10$^{46}$ erg s$^{-1}$, residing in thereionization epoch within the redshift range of $6 \lesssim z \lesssim 8$.These candidates were selected by harnessing the rich multiband datasetsprovided by the emerging JWST-driven extragalactic surveys, focusing onCOSMOS-Web, as well as JADES, UNCOVER, CEERS, and PRIMER. Our search strategyincludes two stages: applying stringent photometric cuts to catalog-level dataand detailed spectral energy distribution fitting. These techniques effectivelyisolate the quasar candidates while mitigating contamination from low-redshiftinterlopers, such as brown dwarfs and nearby galaxies. The selected candidatesindicate physical traits compatible with low-luminosity active galactic nuclei,likely hosting $\approx10^5$--$10^7~M_\odot$ supermassive black holes (SMBHs)living in galaxies with stellar masses of $\approx10^8$--$10^{10}~M_\odot$. TheSMBHs selected in this study, on average, exhibit elevated mass compared totheir hosts, with the mass ratio distribution slightly higher than those ofgalaxies in the local universe. As with other high-$z$ studies, this is atleast in part due to the selection method for these quasars. An extensive MonteCarlo analysis provides compelling evidence that heavy black hole seeds fromthe direct collapse scenario appear to be the preferred pathway to mature thisspecific subset of SMBHs by $z\approx7$. This work underscores the significanceof further spectroscopic observations, as the quasar candidates presented hereoffer exceptional opportunities to delve into the nature of the earliestgalaxies and SMBHs formed during cosmic infancy.

Tracing the rise of supermassive black holes: A panchromatic search for faint, unobscured quasars at z > 6 with COSMOS-Web and other surveys