Adding a radio lens to select a DataTable row in Shiny

I need to add radButtons to select rows in Data, i.e. the selected radio alarm clock must be transmitted to the input. I cannot use inline row selection in DT. I really need to use radio buttons to select a row. This is what you need:

Using https://yihui.shinyapps.io/DT-radio/ I can choose COLUMNS. Es:

library(shiny)
library(DT)
shinyApp(
ui = fluidPage(
title = 'Radio buttons in a table',
DT::dataTableOutput('foo'),
verbatimTextOutput("test")
),
server = function(input, output, session) {
m = matrix(
  c(round(rnorm(24),1), rep(3,12)), nrow = 12, ncol = 3, byrow = F,
  dimnames = list(month.abb, LETTERS[1:3])
)
for (i in seq_len(nrow(m))) {
  m[i, 3] = sprintf(
    if_else(i == 1,
            '<input type="radio" name="%s" value="%s" checked="checked"/>',
            '<input type="radio" name="%s" value="%s"/>'),
    "C", month.abb[i]
  )
}
m=t(m)

output$foo = DT::renderDataTable(
  m, escape = FALSE, selection = 'none', server = FALSE,
  options = list(dom = 't', paging = FALSE, ordering = FALSE),
  callback = JS("table.rows().every(function() {
      var $this = $(this.node());
                $this.attr('id', this.data()[0]);
                $this.addClass('shiny-input-radiogroup');
 });
                Shiny.unbindAll(table.table().node());
                Shiny.bindAll(table.table().node());")
 )
output$test <- renderPrint(str(input$C))
}
)

      

        
        
        
      

    

Result:

Naively, I tried removing m = t (m) and changing rows to columns in the callback. This doesn't work because the callback function in the example adds a class and id to the latter, which have no counterpart for the column.

Any idea?