~$4,500 per the calculator
https://retireinstitute.com/fers-calculator/
less than 5k/year? That doesn't seem like very much at all.
OP - is this really enough to make the move payoff? Given everything about your situation?
I left one job, non gov, non profit, just about 10 months before vesting and I think my pension would have been something like 3-400/month. I was moving to a job that was going to pay about 15-20k more and that seemed the better move to me at the time. Hindsight, maybe not! I went from 4 weeks vacay to 2, and ended up at a level where evenings and weekends were a required part of the job. Some benefits lower too. But the 401k match went from a flat 500 at the non profit (due to pension of course, which I never got anything) to 4% match which at that time for me was about 3k/year.
In the current economic environment, pensions seem extremely attractive. Surity, and if they are indexed to inflation, that is fantastic.
But when inflation is low and the stock market is surging, a smaller pension value doesn't seem quite so attractive. At least it didn't to me back in the day!