diff --git a/required/latex-lab/latex-lab-new-or-1.dtx b/required/latex-lab/latex-lab-new-or-1.dtx
index bb5bf3602..a4b93adc3 100644
--- a/required/latex-lab/latex-lab-new-or-1.dtx
+++ b/required/latex-lab/latex-lab-new-or-1.dtx
@@ -99,7 +99,7 @@
 %   We patch \cs{@makecol}, if new-or-2 is loaded too it will overwrite that again.
 %    \begin{macrocode}
   \providecommand\@kernel@before@footins{}
-  \providecommand\@kernel@before@cclv@new{}
+  \providecommand\@kernel@tagsupport@@makecol{}
    
   \patchcmd\@makecol
     {\vskip\skip\footins}
@@ -108,7 +108,7 @@
 
   \patchcmd\@makecol
     {\let\@elt\relax}
-    {\@kernel@before@cclv@new\let\@elt\relax}
+    {\@kernel@tagsupport@@makecol\let\@elt\relax}
     {\typeout{Patching \string\@makecol\space for tagging}}{\PATCHerror }
 
 \AddToHook{package/footmisc/after}
@@ -116,7 +116,7 @@
  \def \@makecol {%
   \setbox\@outputbox \box\@cclv
   \@outputbox@removebskip
-  \@kernel@before@cclv@new
+  \@kernel@tagsupport@@makecol
   \let\@elt\relax
   \xdef\@freelist{\@freelist\@midlist}%
   \global \let \@midlist \@empty
diff --git a/required/latex-lab/latex-lab-new-or-2.dtx b/required/latex-lab/latex-lab-new-or-2.dtx
index 63ecd9055..e03c5cdbb 100644
--- a/required/latex-lab/latex-lab-new-or-2.dtx
+++ b/required/latex-lab/latex-lab-new-or-2.dtx
@@ -245,7 +245,7 @@
 %    \fmi{The name is likely to change and it probably will eventually
 %         be replaced with a socket.}
 %    \begin{macrocode}
-  \@kernel@before@cclv@new
+  \@kernel@tagsupport@@makecol
 %    \end{macrocode}
 %    When this code is run any ``here'' floats in the \cs{@outputbox} are already handled, so we
 %    recycle their registers and put them back to the \cs{@freelist}.
diff --git a/required/latex-lab/testfiles/new-or-001.tlg b/required/latex-lab/testfiles/new-or-001.tlg
index 21c8df871..d36b8e94f 100644
--- a/required/latex-lab/testfiles/new-or-001.tlg
+++ b/required/latex-lab/testfiles/new-or-001.tlg
@@ -1,7 +1,7 @@
 This is a generated file for the l3build validation system.
 Don't change this file in any respect.
 > \@makecol=macro:
-->\setbox \@outputbox \box \@cclv \@outputbox@removebskip \@kernel@before@cclv@new \let \@elt \relax \xdef \@freelist {\@freelist \@midlist }\global \let \@midlist \@empty \UseSocket {@makecol/outputbox}\ifvbox \@kludgeins \@make@specialcolbox \else \@make@normalcolbox \fi \global \maxdepth \@maxdepth .
+->\setbox \@outputbox \box \@cclv \@outputbox@removebskip \@kernel@tagsupport@@makecol \let \@elt \relax \xdef \@freelist {\@freelist \@midlist }\global \let \@midlist \@empty \UseSocket {@makecol/outputbox}\ifvbox \@kludgeins \@make@specialcolbox \else \@make@normalcolbox \fi \global \maxdepth \@maxdepth .
 <argument> \@makecol 
 l. ...\ShowCommand\@makecol
 -------------------
diff --git a/texmf/tex/latex/tagpdf/tagpdf.sty b/texmf/tex/latex/tagpdf/tagpdf.sty
index f8b871ffd..d6f17b62a 100644
--- a/texmf/tex/latex/tagpdf/tagpdf.sty
+++ b/texmf/tex/latex/tagpdf/tagpdf.sty
@@ -3235,7 +3235,7 @@
 
 \AddToHook{begindocument/before}
  {
-   \providecommand\@kernel@before@cclv@new{}
+   \providecommand\@kernel@tagsupport__tagmakecol{}
    \providecommand\@kernel@before@cclv{}
    \bool_if:NF \g__tag_mode_lua_bool
      {
@@ -3248,7 +3248,7 @@
                \__tag_check_typeout_v:n {====>~In~\token_to_str:N \@makecol\c_space_tl\the\c@page}
                \__tag_add_missing_mcs_to_stream:Nn \@cclv {main}
              }
-           \tl_put_right:Nn \@kernel@before@cclv@new
+           \tl_put_right:Nn \@kernel@tagsupport__tagmakecol
              {
                \__tag_check_typeout_v:n {====>~In~\token_to_str:N \@makecol\c_space_tl\the\c@page}
                \__tag_add_missing_mcs_to_stream:Nn \@outputbox {main}