Vertically aligning tabularray longtblr within gb4e exe environment

I use the gb4e package to make numbered examples. I'm wanting to include a tabular environment within the example, where the example number is aligned with the first row of the table. If I use a regular tabular environment or tabularray's tblr environment, this works fine, and looks like this:

However, if I try to change it to a longtblr environment to allow the table to break across pages, the first row is below the example number:

I've tried changing the alignment option to things other than [t], and set all the tblr template parameters to empty or 0 that might affect the spacing, such as presep or headsep, but nothing seems to get rid of the space. How do I make a longtblr environment look like example (1) rather than example (2)?

Here you can find a minimal working example that creates both environments:

\documentclass{article}

\usepackage{tabularray}

\usepackage{gb4e}

\noautomath

\NewTblrTheme{example}{
  \SetTblrTemplate{caption}{empty}
  \SetTblrTemplate{contfoot}{empty}
  \SetTblrTemplate{conthead}{empty}
  \SetTblrTemplate{head}{empty}
  \SetTblrTemplate{foot}{empty}
  \SetTblrTemplate{headsep}{0}
  \SetTblrTemplate{presep}{0}
  \SetTblrTemplate{footsep}{0}
  \SetTblrTemplate{postsep}{0}
  \SetTblrTemplate{remark}{empty}
  \SetTblrTemplate{note}{empty}
}

\NewTblrEnviron{exetblr} 
\SetTblrOuter[exetblr]{
  theme=example,
  l,
  long
}


\begin{document}

\begin{exe}
    \ex
    \begin{tblr}[t]{l l }
        test & test \\
        test & test \\
        test & test \\
    \end{tblr}
\end{exe}

\begin{exe}
    \ex
    \begin{exetblr}[t]{l l}
        test & test \\
        test & test \\
        test & test \\
    \end{exetblr}
\end{exe}

\end{document}

Thanks for the help!