`cli` messages are always printed at the end of execution

**Describe the bug**
Also referenced [here](https://github.com/r-lib/cli/issues/575) . The `cli` package messages are not relayed when called within the `future.apply` context. This is even the case when no parallelism is used.

**Reproduce example**
The following waits for 10 seconds and prints `hihihihihihihihihihi`
```
future::plan(future::sequential)
ret <- future.apply::future_lapply(X = seq(10), future.stdout=NA,
FUN=function(x) {
cli::cli_inform('hi')
Sys.sleep(1)
})
```

Start by running the reported future::plan(future::sequential) and future.apply::future_lapply reproduction with future.stdout=NA and cli::cli_inform. Trace how messages are handled during the future.apply call, including the sequential path. Done means cli messages are relayed while execution proceeds rather than being printed only after all iterations finish.

Written by the indexing model from the issue text.