How could I change the points design?

You can enable the layouts style and choose the appropriate template for exercises.

documentclass{article}
usepackage{xsim}

loadxsimstyle{layouts}
xsimsetup{exercise/template=runin}

begin{document}

begin{exercise}[points=4]
end{exercise}

begin{exercise}[points=4]
end{exercise}

begin{exercise}[points=4]
end{exercise}

begin{exercise}[points=4,bonus-points=10]
end{exercise}

end{document}