how do I load creative suite 5 on my 2022 Mac mini

It will not run on a Mac that is running macOS Catalina or later. See the information in https://helpx.adobe.com/x-productkb/global/fix-macos-64-bit-compatibility-errors.html including the following:

Apps that don't work in Catalina

Most older Adobe apps were created using 32-bit architecture and do not work in Catalina. We have no plans to update apps that we no longer support or develop. The following table lists some common 32-bit Adobe apps that are not compatible with Catalina. (It is not a comprehensive list of all older 32-bit Adobe apps.)

Adobe Product. Status and alternatives

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Creative Suite apps. No updates planned. We recommend that you upgrade to Creative Cloud.

If it's an M1 or M2 mini, not at all. If it's an Intel mini, you'd have to first install a virtual machine (Parallels, VMware, Virtual Box). Then install an older OS within that VM that is suitable for CS5. High Sierra would be the newest you could use and still have the software operate. But an older OS would be better, such as Mavericks. Once the OS is installed in the VM, then you can install and run CS5.

However, Adobe has shut down the activation servers for it and CS6. You can still get them to install and run, but it takes a few rounds of the software asking you to activate it before it finally lets you do a manual activation. Also, a VM is literally a virtual computer. It may share the CPU, but among other things, it emulates its own video hardware. And it is not accelerated, or anything you'd call fast. Expect graphic intensive apps to lag a bit.