Accepted answer
Week 8 is day 56: on a four-week ladder that is week 4 of dose step 2, and — at the seven-day half-life this class runs on — 8 half-lives in. Steady state is about five half-lives, so day 35 is where the concentration stops climbing on its own. Day 56 is 3 weeks past it, which means the level is no longer the variable. That distinction is most of the question: at week 4 of a step, an effect that is still accumulating is indistinguishable from one that is not resolving unless you know which side of day 35 you are on. Headache in a sustained deficit is more often fluid or intake than receptor pharmacology, and both are cheaper to exclude than to argue about. Dose decisions are made under supervision, and nothing here is medical advice.
Escalating while symptomatic resets the tolerance process and is the mechanism behind most miserable titrations.
Liraglutide titrates weekly rather than four-weekly because its half-life is about thirteen hours, so steady state is reached within days. The interval follows the pharmacokinetics in both cases.
For an agent with a one-week half-life, steady state after a dose change is reached in about four to five weeks. Escalating at two weeks means escalating from a position you have not yet reached, and the resulting exposure is higher than the schedule intends.
Four to five half-lives to steady state is standard first-order pharmacokinetics and gives the four-week interval directly from the one-week half-life.
Hold rather than escalate while symptoms are active. Always.