CSS and Shiny modules ( shinyMatrix matrixInput )

Building on this Q&A, I created a modularized version of that code (below).

I have commented lines #39-41. When those lines are uncommented, the padding for the matrixInput is correct (i.e. "auto"):

tags$head(tags$style(HTML(".matrix-input-table td, .matrix-input-table th {height: auto;}")))

However, when those lines are commented, the padding is just too big. How can I correct this in a simple manner? The CSS does not need to be unique for a particular instance of a module.

library(shiny)
library(shinydashboard)
library(shinydashboardPlus)
library(shinyMatrix)

module_matrix_server <- function(id) {
  moduleServer(id,
               function(input, output, session) {
                 return(
                   list(
                     mi = reactive({input$mi})
                   )
                 )
               }
  )
}

module_matrix_ui <- function(id) {
  ns <- NS(id)
  mat_2 <- matrix(rnorm(20), 20, 1)
  rownames(mat_2) <- 1:20
  wellPanel(
    fluidRow(
      column(12,
             matrixInput(ns("mi"), value = mat_2, rows = list(names = TRUE))
      )
    )
  )

}

mat <- matrix(rep("Hide!",9), 3, 3)

ui <- dashboardPagePlus(
  dashboardHeader(),
  sidebar = dashboardSidebar(
    sidebarMenu(
      menuItem("Module 1", tabName = "tab_module_1", icon = icon("calculator", class = "fas", lib = "font-awesome")),
      menuItem("Module 2", tabName = "tab_module_2", icon = icon("calculator", class = "fas", lib = "font-awesome")),
      id = "left_side_bar"
    )#,
    #textInput("tInput","Text",value = "Good!"),
    #shinyMatrix::matrixInput("mInput", value = mat, class = 'character')
  ),
  dashboardBody(
    tags$head(tags$style(HTML(".matrix-input-cell{color: coral;}"))),
    tags$head(tags$style(HTML(".matrix-input-table td, .matrix-input-table th {height: auto;}"))),
    tabItems(
      tabItem(tabName = "tab_module_1",
              boxPlus(
                title = "Matrix input 1",
                status = "primary",
                width = 12,
                collapsible = TRUE,
                closable = FALSE,
                fluidRow(
                  column(6,
                         module_matrix_ui("matrix-input-1")
                  )
                )
              )
      ),
      tabItem(tabName = "tab_module_2",
              boxPlus(
                title = "Matrix input 2",
                status = "primary",
                width = 12,
                collapsible = TRUE,
                closable = FALSE,
                fluidRow(
                  column(6,
                         module_matrix_ui("matrix-input-2")
                  )
                )
              )
      )
    )
  )
)


server <- function(input, output) {
  observe({
    if (req(input$left_side_bar) == "tab_module_1") {
      mms_1 <- module_matrix_server("matrix-input-1")
    }
    if (req(input$left_side_bar) == "tab_module_2") {
      mms_2 <- module_matrix_server("matrix-input-2")
    }
  })
}

# Run the application 
shinyApp(ui = ui, server = server)

This was easily solved by using inlineCSS(), from the shinyjs package, inside the module ui definition.