I'd make it 4" longer, groove both gluing surfaces with a toothing plane blade, and glue it with Smooth On, clamp nice and snug, and let it sit with a shop light next to it so the heat helps cure it. I usually throw a towel over it to hold in the heat.... leaving a small 'chimney' hole for some heat to escape so it doesn't roast it. Such joints are really durable and can even flex without lifting in the slightest.