Yes it's safe.
I have, over the years, registered with other 330 MSCs. Most have my banking info, my Paypal info, my SSN or my FEIN, all have my DOB and address and previous/current work history, some have my DL# and photos, and yet.,, I have never heen a victim of identity theft, even with giving all of that sensitive info out to them.
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Plan the work. Work the plan.