Postgresql Wal archive and Barman setup

Hello All,

I have a scenario, where I need some suggestions and improvements if
applicable.

Our setup in brief
1) Primary --> standby
using archive_command = rsync to primary local location and standby
local location
2) Primary --> Barman
Using streaming. Barman backup location is /nfs/DD9
3) Archive cleanup on primary is setup via crontab to every 14 days.

Here is my scenario, If my barman nfs is down for 5 days and my local
archive location is filled up during this time. what will happen.

if my /srv/archive (location archive wal location) on primary and standby
is 100% full during this time.
my /srv/data is going to be 100% full , causing my cluster to go down.

So what are the suggestions to avoid this situation.

Thanks,
Sa