2 STP versions on same switch

Hi All, looking at a new request.

Clients core switch is running MST on their Core switch and their new Setup (TOR switch and below) is configured with RPVST.

Now we have a requirement is For uplink interface between tor & core switch client wants us to run MST.

has someone ever done something like this. If Yes? Care to shed some light on how can it be done. Is it going to be same steps as running a rpvst on a switch?

Is MST backward compatible with RPVST? Have read on internet that it is, but not sure if anyone has performed something like this or not.

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Topology:

(MST) Core Switch (MST)----> (MST) Tor Switch 2 (RPVST)

| | | v (MST) 

Tor Switch 1 (RPVST)