Peppermint tea is a MAJOR GERDs trigger, so you should not be drinkinng that. Try very strong chamomile and fennel instead.
Cooked carrots are fine. Raw, the relatively small amount of IF can be a problem for some. The cucmber SHOULD be fine, but the skin has plenty of IF in it. Baked beans are soooo bad. Soy cheese usually has casein in it.
Try snacking instead of doing meals. I'd be so ill if I was eating that infrequently...and so little! Tiny amounts of food are fine...just frequently.