plugging Thunderbolt 2 external drive to Mac Mini M2 Pro or Mac Studio M2 Max

I would like to buy either the Mac Mini M2 Pro or the Mac Studio M2 Max. But they have Thunderbolt 4 connections, while I currently use a OWC Thunderbay 4 with Thunderbolt 2 for all my data and backup disks.

Will I be able to use the Thunderbay 4 with Thunderbolt 2 and plug it to a Thunderbolt 4 connection on a new Mac? I have an Apple Thunderbolt2/3 adapter but will the new computer recognize the Thunderbay as Thunderbolt 4 seems to have compatibilty problems for Thunderbolt 2 devices. Or should I use something like Caldigit TS3 Thunderbolt 3 : I would tehn plug the OWC Thunderbay (Thunderbolt 2) to the Caldigit TS3 with the Apple adapter, then plug the Caldigit to the Mac Mini M2 Pro (or the Mac Studio M2 Max) ? Will this work ?

Thanks.