SEND IT BACK TODAY. DO NOT DELAY.
GET A REPLACEMENT iMAC ($2500) or DELL / LENOVO HP / ASUS et al i9 ($1500, similar specs).
THERE IS NO FIX FROM APPLE, and it would seem that NO FIX IS FORTHCOMING.
DOES NOT WORK RELIABLY with 10.14.6 or 10.15.x
SORRY, the cost / performance ratio of the i7 MINI is the best from Apple, but the device simply does not work reliably. You can try 10 to 20 cables / adapters / different brand monitors (I have) and find a semi-stable solution, but then it gets unstable with the next OS update. You WILL WASTE $100s on cables; $500s on moniters; $1000s of your own time and grief, and still wonder, each morning, as to whether or not the machine will start up, and whether it is safe to shut down the computer and try a cold restart after a week. Anything can happen on restart, from hours of grief and black screens with attendant cable switching, screen switching, etc. , to full proper restart. It is mystery.
After 18,000 posts, APPLE has not fixed the problem. The MINI i7 JUST DOES NOT WORK reliably with multiple monitors, external thunderbolt drives, file vaults. The underlying issues are thermal, firmware, software, internal startup sequence, powering of the various busses, and/or sending out passwords to external encrypted drives, etc. All these are in play.
APPLE has not fixed it after 10 months of grief from 1000s of customers (maybe more, but not everyone posts).
BITE the bullet.. get rid of the MINI (get a full refund from Apple), and move onto something else that is reliable. If you have to, CRY when you are at the Genius Bar... maybe they will take sympathy and refund your money.
Do not get another MINI.... all minis seem to be afflicted (I am on my second 2018 i7 mini - both have the same issues).
If not, you will CRY for months or years with your afflicted MINI.