Lots of changes.

packages/Boxout.sty

@@ -32,17 +32,22 @@
 \NewDocumentEnvironment{@boxout}{
 	m m +b
 }{
-	\label{box:#2}%
-	\begin{tblrBoxout}{#1}%
+	\label{box:#1}%
+	\begin{tblrBoxout}{#2}%
 		#3%
 	\end{tblrBoxout}%
 }{}
 
 \NewDocumentEnvironment{Boxout}{
-	O{colspec={X[l,h]}}
+	% #1: Label, passed to @boxout argument #1.
 	>{\TrimSpaces}m
+	% #2: Tabularray colspec, passed to @boxout argument #2.
+	O{colspec={X[l,h]}}
+	% #3: Caption.
 	+m
+	% #4: [Ww] for warning box.
 	o
+	% #5: Body, passed to @boxout.
 	+b
 }{%
 	\ifthenelse{\equal{#4}{w}\OR\equal{#4}{W}}{%
@@ -64,22 +69,34 @@
 }{}
 
 \NewDocumentEnvironment{BigBoxout}{
+	% #1: Overhang, passed to BigFloat argument #1.
 	O{\bigfloatoverhang}
+	% #2: Float placement, passed to BigFloat argument #2.
 	O{htpb}
+	% #3: Offset ratio, passed to BigFloat argument #3.
 	O{\bigfloatoffsetratio}
-	O{X[l,h]}
+	% #4: Label, passed to Boxout argument #1.
 	>{\TrimSpaces}m
+	% #5: Tabularray colpec, passed to Boxout argument #2.
+	O{X[l,h]}
+	% #6: Caption, passed to Boxout argument #3.
 	+m
+	% #7: [Ww] for warning box, if present passed to Boxout argument #4.
 	o
+	% #5: Body, passed to Boxout.
 	+b
 }{
-	\begin{figure}[#2]%
-		\begin{adjustwidth}{-#1}{-#1 * \real{#3}}%
-			\begin{Boxout}[#4]{#5}{#6}[#7]%
+	\begin{BigFloat}[generic][#1][#2][#3]%
+		\IfNoValueTF{#7}{%
+			\begin{Boxout}{#4}[#5]{#6}%
 				#8%
 			\end{Boxout}%
-		\end{adjustwidth}%
-	\end{figure}%
+		}{%
+			\begin{Boxout}{#4}[#5]{#6}[#7]%
+				#8%
+			\end{Boxout}%
+		}%
+	\end{BigFloat}%
 }{}
 
 \NewDocumentEnvironment{WrapBoxout}{