Replace converter with 24v PS and Solar Controller

The TS-45 has no DC to DC voltage converting circuitry in it like an MPPT control would. A power supply does not behave like a solar panel.
You can call Morningstar and ask them but I don't think it will work.
I recently replied in your first thread. I think your best bet is to purchase a good, programmable charger or inverter/charger. They do exist. There's no reason to cobble together devices that weren't designed for this purpose as an experiment.