Como dobrar o texto para que siga as curvas de um diagrama de Venn

Question

Preciso fazer com que "classe A", "classe B", "classe C" sigam as curvas dos círculos que os contêm imediatamente:

\documentclass{article}

\usepackage[english]{babel}

\usepackage[utf8]{inputenc}

\usepackage{amsmath}

\usepackage{tikz}

\usetikzlibrary{arrows.meta}
\usetikzlibrary{decorations.text}

\begin{document}

\begin{tikzpicture}[scale=0.85]
\foreach \X [count=\Y starting from 2] in {\textit{A},\textit{B},\textit{C}}
{\draw (-\Y,-\Y/2) circle ({1.5*\Y} and \Y);
\node at (1-2*\Y,-1.1*\Y) {$ $ $ $ $ $ $ $ $ $ $ $ $ $ $ $  $ $   classes \X}; }
\draw ([xshift=-0.5cm,yshift=-0.5cm]current bounding box.south west)
rectangle ([xshift=0.5cm,yshift=0.5cm]current bounding box.north east);
\node[anchor=south] at (current bounding box.north) {\textbf{Three classes}};
\end{tikzpicture}


\end{document}

Answer 1

Algo assim?

\documentclass{article}

\usepackage[english]{babel}

\usepackage[utf8]{inputenc}

\usepackage{amsmath}

\usepackage{tikz}

\usetikzlibrary{arrows.meta} 
\usetikzlibrary{decorations.text}

\begin{document}

\begin{tikzpicture}[scale=0.85] 
\foreach \X [count=\Y starting from 2] in 
{A,B,C} 
{\draw (-\Y,-\Y/2) circle ({1.5*\Y} and \Y);
\path[decoration={text along path,
text={classes |\itshape|\X},text align=center,raise=0.2em},decorate] (-\Y,-\Y/2) +(-1.5*\Y,0) arc(180:360:{1.5*\Y} and \Y);
} 
\draw ([xshift=-0.5cm,yshift=-0.5cm]current bounding box.south west) 
rectangle ([xshift=0.5cm,yshift=0.5cm]current bounding box.north east); 
\node[anchor=south] at (current bounding box.north) {\textbf{Three classes}}; 
\end{tikzpicture}

\end{document}`