How do I combine edges after performing loop cuts?

I’m trying to combine the edges as shown below but ‘bridge edge loops’ in the edge context menu doesn’t work. Thanks!

The bridge edge loops command is for connecting two separate loops:

I think what you want to do is dissolve the extra vertices that turn the polygons at the top part of your model into ngons. Just select the extra vertices, press X, and select dissove vertices:

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Awesome, thank you zanzio!