Automate adding SSL certificate from OS without steps in SAP

I have a certificate that needs to go into 22 SAP servers. I wrote a script that adds the certificate to the pse on the 22 servers using ...

sapgenpse maintain_pk -a mycert.cer -p SAPSSLA.pse

... but then I have to logon to 22 SAP systems and click "distribute" in strustsso2 which isn't very automated. How can I add the certificate with less pain?