Key generated with key agent being asked several times (which is to give it only once)

Key generated with key agent being asked several times (which is to give it only once) I am running a bash script to automate a backup on a NAS. I successfully generated a key (I had some difficulty as I had messed up the rights of the directory and file system which I resolved. The steps are in this question: https://unix.stackexchange.com/questions/757770/log-in-to-remote-server-by-using-a-generated-public-key) . In the bashscript (which I run from the local) I am creating a new directory on the remote before syncing the content of the same directory from the local. Each time a directory is created, I get asked the key

Enter passphrase for key '/Users/user01/.ssh/id_rsa':

Where user01 is the username of the local. Ok so the whole tree is the following:

/var/services/homes/user01/.ssh/

Here are the recap of the permissions of each branch are the following (with ls -ld and ls -la command (from bottom up): For the remote machine:

user01@NAS:/$ ls -ld var
drwxr-xr-x 15 root root 4096 Oct  4 13:42 var
user01@NAS:/$ ls -ld var/services/
drwxr-xr-x 2 root root 4096 Oct  4 13:42 var/services/
user01@NAS:/$ ls -ld var/services/^C
user01@NAS:/$ ls -ld var
drwxr-xr-x 15 root root 4096 Oct  4 13:42 var
user01@NAS:/$ ls -ld var/services/
drwxr-xr-x 2 root root 4096 Oct  4 13:42 var/services/
user01@NAS:/$ ls -ld var/services/
NetBackup/ homes/     pgsql/     tmp/
user01@NAS:/$ ls -ld var/services/
NetBackup/ homes/     pgsql/     tmp/
user01@NAS:/$ ls -ld var/services/homes
lrwxrwxrwx 1 root root 14 Oct  4 13:42 var/services/homes -> /volume1/homes
user01@NAS:/$ ls -ld var/services/homes/user01/
drwxr-x--- 1 user01 users 90 Oct  3 09:41 var/services/homes/user01/
user01@NAS:/$ ls -ld var/services/homes/user01/.ssh/
drwx------ 1 user01 users 30 Oct  4 13:59 var/services/homes/user01/.ssh/
user01@NAS:/$ ls -ls var/services/homes/user01/.ssh/authorized_keys
4 -rw------- 1 user01 users 571 Oct  4 13:59 var/services/homes/user01/.ssh/authorized_keys
user01@NAS:/$

For the local machine: /Users/user02/.ssh/id_rsa /Users/user02/.ssh/id_rsa.pub

[@/]$ ls -ld Users
drwxr-xr-x  6 root  admin   192B Jan  1  2020 Users/
[@/]$ ls -ld Users/user02
drwxr-xr-x+ 152 user02  staff   4.8K Oct  4 13:58 Users/user02/
[@/]$ ls -ld Users/user02/.ssh
drwx------  7 user02  staff   224B Oct  4 13:59 Users/user02/.ssh/
[@/]$ ls -la Users/user02/.ssh/id_rsa
-rw-------  1 user02  staff   2.6K Oct  4 13:58 Users/user02/.ssh/id_rsa
[@/]$ ls -la Users/user02/.ssh/id_rsa.pub
-rw-r--r--  1 user02  staff   571B Oct  4 13:58 Users/user02/.ssh/id_rsa.pub
[@/]$

How is it possible to be able organize that I give (for instance) only once (the first time) the key?