  Searching for the sources of high-energy cosmic particles requires
sophisticated analysis techniques, frequently involving hypothesis tests with
unbinned log-likelihood (LLH) functions. SkyLLH is an open-source, Python-based
software tool to build these LLH functions and perform likelihood-ratio tests.
We present a new easy-to-use and modular extension of SkyLLH that allows the
user to perform neutrino point source searches in the entire sky using ten
years of IceCube public data. To guide the user, SkyLLH provides tutorials
showing how to analyze the experimental data and calculate useful statistical
quantities. Here we describe the details of the analysis workflow and
illustrate some of the possible methods to work with the IceCube public
dataset. Additionally, we show that SkyLLH can reproduce the results from a
previous IceCube publication that used the public data release. We obtain a
similar local significance for the neutrino emission from a list of candidate
sources within a maximum shift of 0.5$\sigma$. Finally, the measured neutrino
flux from the most significant source candidate, NGC 1068, shows substantial
agreement with the previously published result.
