Meter center has KWHr meter and mains input on left side (power feeds from below grade). Right side is just a "load center".
Two bus bars run the length (height) of the panel, interleaving the two "hot legs" (i.e., a double wide breaker ends up straddling both legs).
Bus bars have large "tongues" that protrude at right angles above the bars. Underside of breakers have a tight slot that grabs onto this tongue. (other "end" of breaker has a lip that clips over a metal/grounded mechanical support).
So, lift side of breaker that adheres to the tongue, pivoting on the other side that is clipped behind that metal lip. Breaker is then free to be removed -- save for any conductors that are tied to it (e.g., neutral pigtail, neutral load and hot load for GFCI; hot load for regular breaker)
Panel is at least 35 years old (so, I've been chasing down NOS spares before they become unobtanium). But, everything is still intact.
The GFCI's were purchased "new" many years ago. Note that there are 5 in the panel; three of which see everyday use (kitchen countertops plus bathrooms) and have never complained (despite large loads -- toaster oven, electric frying pan, hair dryers, etc.).
Fourth GFCI has just been "stored" in the panel. It was the candidate that I exploited to replace the GFCI for this outlet branch circuit.
I.e., too many coincidences wouold have to occur for me to conclude it was a GFCI (*breaker*) problem.
I'll look at it this weekend. I've got some candy that I've got to make, today (while SWMBO is "away")