The inspection scope is a good add, will come up a lot with any small parts work or troubleshooting/rework, but I agree that you should probably add as the task/user demands rather than try to equip upfront. There are a lot of directions things can go in, so there's a lot of potential things to get (many of which will be entirely irrelevant to certain tasks), and if you trust your EE, they'll probably have a preference of tools or approach to problems which could inform that. I'd agree that some sort of AWG and a thermal camera are standard and very useful.
Potential additional things:
Soldering iron
Hot air station (SMD work or rework)
Desoldering gun/station (if rework of through hole parts is common)
High voltage oscilloscope probe (if you're dealing with high voltage parts)
Good quality basic hand tools - needle nose pliers, wire strippers, flush cutters, screw drivers, calipers, etc.
Basic antistatic equipment (mat, strap, grounding point)
Basic test leads (the new equipment likely covers a lot of this, but something like BNC cables, banana plug cables, cables with hooks or clips on the end, etc.)
Basic consumables - solder, solder paste, tacky + liquid flux, isopropyl alcohol, stranded and solid hookup wire, desoldering braid
But again, while some of those could be good to get initially, it's probably good to ask your employee for some input as well as to what specific brands, parts, and things they'd actually use. Not everyone works or reworks the same, and it could be they have some experience that will help pick better tools for their workflow.