Multithread computation with R: how to get all different random numbers?

Anyone knows how to get all the random numbers different in the following code? E.g. with doRNG package? I don't care about reproducibility.

rm(list = ls())
set.seed(666)
cat("\014")
library(plyr)
library(dplyr)
library(doRNG)

# ====== Data Preparation ======
dt = data.frame(id = 1:10,
                part = rep("dt",10),
                HG = c(1,3,6,NA,NA,2,NA,NA,NA,NA),
                random = NA)

# ====== Set Parallel Computing ======
library(foreach)
library(doParallel)

cl = makeCluster(3, outfile = "")
registerDoParallel(cl)

# ====== SIMULATION ======
nsim = 1000                # number of simulations
iterChunk = 100            # split nsim into this many chunks
out = data.frame()    # prepare output DF
for(iter in 1:ceiling(nsim/iterChunk)){
  strt = Sys.time()
  
  out_iter = 
    foreach(i = 1:iterChunk, .combine = rbind, .multicombine = TRUE, .maxcombine = 100000, .inorder = FALSE, .verbose = FALSE,
            .packages = c("plyr", "dplyr")) %dopar% {
              
              # simulation number
              id_sim = iterChunk * (iter - 1) + i

              ## Generate random numbers
              tmp_sim = is.na(dt$HG) # no results yet
              dt$random[tmp_sim] = runif(sum(tmp_sim))
              dt$HG[tmp_sim] = 3

              # Save Results
              dt$id_sim = id_sim
              dt$iter = iter
              dt$i = i
              
              print(Sys.time())
              return(dt)
            }#i;sim_forcycle
  
  out = rbind.data.frame(out,subset(out_iter, !is.na(random)))
  
  fnsh = Sys.time()
  cat(" [",iter,"] ",fnsh - strt, sep = "")
}#iter

# ====== Stop Parallel Computing ======
stopCluster(cl)

# ====== Distinct Random Numbers ======
length(unique(out$random))              # expectation: 6000

I have been strugling with this for 2 days. I asked this question earlier with only general response about random numbers.

Here I would like to ask for a solution (if anybody knows) how to set doRNG package options (or similar package) in a way that all the random numbers are different. Across all the loops.

I have tried tons of doRNG settings and I still can't get it to work. Tried R versions 3.5.3 and 3.6.3 on two different computers.