Sounds like several things, ask the owner if any of his technical people ever addressed any issues in the building, I’d start right there. Ask them in person so you can see their response!
The first thing you need to do is size the welder and make sure eveything right there, you might find out that fuses might be better, than a breaker.
This might be a rental place so anything I say or you might try might not be proper, cause the owner(renter) has to get a hold of the owner, if you determine any of the following.
I’d go to the owner (renter) and express your exact that you stated here, sounds like the building needs to be completely checked, or state that their existing service might be at its limit and thus to small; and that the upsize of this one piece is not the cure, light brown’n is usually a stain of existing service equipment or the dreaded loose neutral.
You can offer to check the Neutral through to the meter(depending on your POCO) but that you’ll need to express that they can pay you to open some service/circuits and check some things or not. As I saw here this weekend here someone shot a infred on the service riser and noted heat...
Tell them you need to add up all his numbers by Code anyways, “your requirement” to address a possible larger main service requirement. Do total load calculations (or summary) of all the equipment they have period, rent a recorder for a week, or ask for 1 year of electrical bills.
I’d walk in and quickly make observations of all equipment that’s running once at 10AM and at 2PM. I’d also do some AMP reading on the existing main service at those times as well. Or ask when is the crew all there and working, doing there thing, granted this is CA.
You can suggest that the owner purchase some battery backup UPS, so they will Beep instead of Blink! Which they should have any ways, JMO…