Saudi attestation of documents when already UAE attested
 

All my degree certificates are attested for the UAE via UK notary public, FCO, UAE embassy in London and then MOFA in UAE. I'm now moving to work in Saudi and was wondering if anyone knows if I have to start at the beginning again with brand new copies, or would the Saudi Cultural Centre accept the copies with all the previous stamps and just add their own?

It's a very expensive process to start again, and I'm not being reimbursed, so would appreciate if anyone would be able to advise.

Many thanks.