Thus having the list
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<21>1.<22>1.<22>2.<23>1.<23>2.<23>3.
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Code, edit and compile here:
\documentclass[a4paper,10pt]{article}\usepackage{enumitem}\ExplSyntaxOn\makeatletter\setlistdepth{13}\newlist{wvTlaps}{enumerate}{13}\setlist[wvTlaps]{label=$\langle$\the\enit@depth$\rangle$\arabic*.,parsep=0pt, left=0pt,itemindent=8pt,}\makeatother\NewDocumentEnvironment {wvTlapis} { }{\begin{wvTlaps}}{ \end{wvTlaps} }\ExplSyntaxOff\begin{document}\begin{wvEnum}\item First level\begin{wvEnum}\item Second level\begin{wvEnum}\item Third level\end{wvEnum}\end{wvEnum}\end{wvEnum}\end{document}