longtblr caption format same as table environment

Question

I usually use a tblr oder tabularx within the table environment, but I have some long tables with (at least for me) not so easy formatting, which I place in a longtblr. If I place the longtblr within a table environment the page break is not working and the table is placed on a spot that doesn´t fit the content.

If I keep it the way I have it now, I need to adjust the formatting of my caption within tabularray (longtblr).

For table enviornment I use:

\usepackage[tableposition=top, font=small, labelfont=bf, belowskip=6pt, aboveskip=6pt]{caption} 
\setlength{\abovecaptionskip}{6pt plus 3pt minus 2pt}
\setlength{\belowcaptionskip}{6pt plus 3pt minus 2pt}

For the tabularray I have so far:

\usepackage{tabularray}
\NewDocumentCommand \TblrAlignCenter { } { \centering }
\SetTblrStyle{caption-tag}{\bfseries}

The size and skip are still not the same and I don´t find how I can adjust it. Additionally, a multiline caption is not centered but aligned left. Would be great to get some insights.

For the size the following works (although I don´t know what each line does):

\ExplSyntaxOn
\prg_generate_conditional_variant:Nnn \tl_if_empty:n { e } { TF }
\let \IfTokenListEmpty = \tl_if_empty:eTF
\ExplSyntaxOff
\DefTblrTemplate{firsthead}{default}{%
  \addtocounter{table}{-1}%
  \IfTokenListEmpty{\InsertTblrText{entry}}{%
    \captionof{table}{\InsertTblrText{caption}}%
  }{%
    \captionof{table}[\InsertTblrText{entry}]{\InsertTblrText{caption}}%
  }%
}
\DefTblrTemplate{middlehead,lasthead}{default}{%
  \addtocounter{table}{-1}%
  \captionof{table}[]{\InsertTblrText{caption}(Continued)}%
}
\SetTblrTemplate{caption-lot}{empty}

Thx in advance!