Just a dumb DIYer so take this with a grain of salt. You can put in a stud to the left and right of the stud in question to bear any load. Then after the floor repair is made you can replace the original stud (I’d probably leave the 2 temp studs as well since they are already in place just for overkill support).

You’ll want to look into the structural impact of cutting the base plate though. Seems like cutting a section out might require more than just putting it back with some metal straps.

Also, look into epoxy for the concrete fix. I know they have epoxy specifically for injecting into concrete crasks to restore integrity. Seems like it might be much easier (and possibly be able to work around the framing). It’ll probably be more expensive, but pay off in convenience.