Thank you for the example @Vincent. However, when I run the code (a year later after the example was posted), the table float environment remains in the LaTex.
Instead the code needs to be slightly modiefied by adding output = "latex_tabular":
modelsummary(list(
"(A)"=m1,
"(B)"=m2,
"(C)"=m3),
output ="latex_tabular"
) |>
group_tt(j = list("Text" = 1, "More Text" = 2, "Some Other Text" = 3:4)) |>
theme_tt("tabular") |>
print("latex")