\mu and \epsilon missing in ebgaramond-maths font?

I've been searching for ages and now I became totally desperate, as it seems that I am the only (or the first?) one encountering this problem. I am compiling with pdfLaTeX and want to use ebgaramond-maths font (for both text and maths), because I think it just looks wonderful. However, it seems that there are few Greek letters missing, see below. How is this possible? Or am I doing anything wrong?

My MWE:

\documentclass[12pt]{article}

\usepackage[cmintegrals,cmbraces]{newtxmath}
\usepackage{ebgaramond-maths}

\begin{document}
$\alpha, \beta, \gamma, \delta, \epsilon, \zeta, \eta, \theta, \iota, \kappa, \lambda, \mu, \nu, \xi, \pi, \rho, \sigma, \tau, \upsilon, \phi, \chi, \psi, \omega$
\end{document}

What I get is:

I tried changing the font to ebgaramond. This gives me correct full list of Greek symbols, but the font is different (and less beautiful, IMHO).

If you can switch to either lualatex or xelatex, you can use the opentype Garamond Math font from https://github.com/YuanshengZhao/Garamond-Math like this:

% !TeX TS-program = lualatex

\documentclass[12pt]{article}

\usepackage{mathtools}
\usepackage{unicode-math}
\setmathfont{Garamond Math}[Scale=MatchUppercase]

\begin{document}
$\alpha, \beta, \gamma, \delta, \epsilon, \zeta, \eta, \theta, \iota, \kappa, \lambda, \mu, \nu, \xi, \pi, \rho, \sigma, \tau, \upsilon, \phi, \chi, \psi, \omega$
\end{document}