Why R function doesn't use variable from parent parent environment?

I don't get, why glue_data doesn't use a variable available from parent parent environment? See code below. Function test_call_glue_directly returns desired result. Function test_call_glue returns error Error in eval(x, envir = data, enclos = envir) : object 'c_1' not found

Of course, my real function has more than one variable. formula_1 might refer to {c_2} and {c_3}. Or {c_456}, {c_7}, {c_8}. The count of c_* might be different.

Is there a way how to create new environment specifically for calling this glue_data? Or pull variable from parent environment? Or some better way how to organize my code? I don't want to pass the parameter c_1 to funciton fill_1 because in my real script there could be unknown count of variables with unknown names.

fill_1 <- function(letts, n0, formula_x) {
  purrr::cross_df(list(row = n0, column = letts)) %>%
    glue::glue_data(formula_x) %>%
    matrix(ncol = length(letts)) %>%
    as.data.frame
}


test_call_glue <- function() {
  c_1 <- "C"
  formula_1 <-  "={c_1}{row}"
  fill_1(c("A"), c(1:5), formula_1)
}


test_call_glue_directly <- function() {
  # The function without wrapping glue_data in function
  c_1 <- "C"
  formula_1 <-  "={c_1}{row}"
  purrr::cross_df(list(row = c(1:5), column = c("A"))) %>%
    glue::glue_data(formula_1) %>%
    matrix(ncol = 1) %>%
    as.data.frame
}

test_call_glue_directly()
test_call_glue()

I'm coming back to revisit my question. Since then I have learned to use dots as argument to my custom function:

fill_3a <- function(x, ...) {
  paste(paste0(x, c_1), paste0(x, c_2), sep=":::")
}
test_call_paste_a <- function() {
  c_1 <- "C"
  c_2 <- "H"
  ans <- fill_3a("4", c_1, c_2)
  return(ans)
}

test_call_paste_a()

Probably it doesn't make sense to call unnamed argument my name, but it makes sense for my use case, where the first argument is string used for glue::glue (variables are substituted to their values by name).