I think, like most of the ancient world after the invention of agriculture, Jesus was probably what others here have called a Flexitarian. Most of his meals were probably plant based, but I would be very surprised if he didn’t eat some meat, particularly at celebrations.
I would also say that people are probably designed more or less to be flexitarian. I wouldn’t be surprised if the bulk of a hunter gather diet was plant based, with animal protein being something that was eaten a few times a week.
Regarding his eating lamb at passover, I believe that during the age of Temple Judaism, it was considered a requirement to have lamb at passover seder.
Ultimately, I think there are many reasons that a Christian might choose to be a vegetarian or a vegan and many of those reasons have been espoused here. At the same time, I think a Christian needs to acknowledge that eating meat is not immoral per say – the way the meet is obtained, or the cost of eating meat on society at large may, arguably, make the practice immoral, but the practice is not inherently immoral.
Ultimately, we should consider ourselves lucky to be rich enough to have these choices in our diet. In much of the world, dinner is whatever food is available.
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Bill