Gas Oven Tripping GFCI
A combination oven/cooktop will have separate ignition methods for the burners (cooktop) and the oven.

The burners usually have a simple spark ignition. If your cooktop "clicks" when you turn on a burner, that is the spark ignition, which is totally normal.

The oven may use spark ignition but will often use a a glow bar. If the insulation is wearing out (can happen over time in the heat of an oven) or there is a loose connection, then there may be leakage to ground in the oven igniter/glow bar, tripping the GFCI.

The key is that the oven &amp; cooktop are independent. This is different from the old days where a single pilot light would be used to ignite both the cooktop and the oven. Modern ovens don't use pilot lights because they burn gas - and your money - all the time.

If you can find instructions online for your specific oven, you may be able to remove the igniter/glow bar/etc. and replace it. The catch is that damage may not be obvious, and it is also possible the problem is in the controls and not the igniter or glow bar. But the problem is pretty definitely somewhere in the oven.