If it's really that rough for you, bumping the dose makes sense to me.
Like you, I went with a custom titration, 2.5mg, 3.75mg, then 5mg, spending roughly 8-10 weeks on each level. That smaller 1.25mg jump worked fine for me, but if that's not cutting it for you, nothing to be embarrassed about. Mounjaro's meant to be adjusted until you land on whatever setup actually suits you.
You mentioned weekends hitting hardest. What day do you actually inject? I go with Thursday nights so the medication peaks right over the weekend, giving extra backup when I've got more free time around. My lowest levels then fall midweek when work keeps me distracted and helps me stay on top of calories.