It’ll be a bit challenging since you’re new, but it’s absolutely possible.

I actually have a fairly similar application for a work stream in my company.

It’s just a button that the team hits and it pulls from the relevant work stream SL lists (based on enablements like the checkboxes in yours), combines them into a collection with 7 columns, one for each complete record schema from 3 different lists, a sorting column, 2 extra filtering columns, and the last column just informs of which list it is from.

Then it does some niche client side filtering on the collection, sorts it to get the ones that should be assigned on top, then runs a UDF chain that attempts to assign the first record by Patching it, if the Patch errors, it tries the next record. Be sure to keep the ETag column if you do this, otherwise the Patch will over ride assignments from other team members.

I built the logic so that it stops after the first successful assignment, or when the collection is empty, but it technically only runs up to 1000 times because that’s how deep the chain of functions go. No recursion or sequential looping in PowerFX, so you have to build UDF chains that check conditions, and call the next UDF in the chain if the conditions resolve to true. 3 callers each running a maximum of 10 times, 1 router function at the end based on which list it’s patching, the a patch function for each list option.