First of all get glp plotter and have a play with what different doses and timings look like on the graph. Understand the pharmacokinetics of the drug, GLP's are totally different to virtually any other drug in that regard, so it is not obvious or intuitive. It takes about 24 hours to get to peak blood levels after a dose and it takes 6 days to drop back down to half that level. At the same weekly dose levels will build up in your system for 4 weeks, so worst side effects are typically 24 hours after a dose, but can get worse due to the build up so it can be worst on the 3rd or 4th dose at the same dose. If you do not understand this , stick to the standard recipes.
Rapid escalation is really only safeish using small frequent doses, as it should only take a day or 2 to have blood levels drop back to predose levels if dosing 2-3 x a week.
The problem with increasing doses faster, especially with weekly doses is getting hit like a brick with nausea and vomiting or diarrhoea or constipation, and due to the long half life these can last a week. By far the most common serious thing to go wrong with GLP's grey or legit is ending up in hospital on a drip for dehydration from persistent vomiting, and it is not at all rare. I am ignoring the other side effects as they do not often hit as suddenly or severely as nausea and vomiting.
Going up doses more slowly or with smaller more frequent doses does not really change what side effects you end up getting or at what doses, but they are less likely to hit suddenly and severely. At a given dose , say 3mg or 4mg, you start getting mild nausea and some appetite suppression, what this should tell you is to slow down the dose increases as it will get worse when you increase the dose. Individual responses to GLPs are very variable, one person might get no nausea at 10mg and another vomiting at 2mg.
I used second day dosing of tirz to go from 0 to 15mg in a month when I swapped over from ozempic, it can be done, but it does carry higher risks, and is more risky if you have not previously taken any other GLP drug. But you need to ask yourself is getting to a working dose more quickly worth the risk of losing a week off work and a small but non zero increased risk of needing medical treatment for bad side effects.
If you really want to do it, I would go with 1mg every second day which works out to 3.5mg/ week, then increase to 1.5mg/2days - 5.25mg/week ( x3.5 to get weekly dose ), within 1- 2 weeks you will very likely start seeing effects or side effects and then once that happens slow right down. It gets you to a reasonable dose fairly fast with low but non zero risk of sudden severe unexpected side effects. Once you end up at a dose you are happy with you can start converting it to weekly dosing if you want , just by gradually increasing one of the doses and decreasing the others. In my experience , this works quite well, with each step up in dose being much smaller than any of the standard approaches, which ideally gives you a bit of a heads up on what might happen if you keep increasing doses, but slowing down or stopping dose increases once side effects happen is critical.
Not sure how overweight you are, but these drugs are a long term treatment for most people and especially for those they are designed for, those with severe obesity or obesity related medical conditions, and for most keeping the weight off long term requires taking them long term. A few weeks or months spent slowly ramping up doses is not going to make a huge difference to a treatment that might be life long. The other advantage GLP drugs have compared to normal diet and exercise approaches to losing weight is that ideally you will only need to lose the weight once, and if you stay on the drugs after you get to your plateau weight , you should be able to stay there forever hopefully.
