Good job! I would caution against dropping from 2mg to nothing all at once. Bupe saturates the receptors at about 2mg, so dropping down to 2mg from any dose is not that hard. But going below 2mg becomes much harder. Additioanlly, the lower your dose, the larger a percentage drop every milligram is. When you were at 8mg, a 2mg drop was 25%. At 4mg, it's 50%, a MUCH larger drop. My guess will be that even if you drop from 2mg to 1mg all at once, it's going to be far more difficult than any of your previous drops, or even than it would have been to drop from 8mg to 2mg all at once.
You can try dropping to 1mg from 2mg, but if it becomes to the point that you're in danger of relapsing or you just can't handle it, don't beat yourself up, and instead try dropping by 20%, or 10%. Which would be 1.8mg (if 10%) or 1.6mg (if 20%). Then wait until you feel normalized, and drop another 10% (I'd recommend 10%, not 20%, for each drop). So if you're taking 1.8mg, another 10% would put you at 1.62mg. After you feel normal, drop another 10%, which would be about 1.46mg. Continue with this pattern until you get down very low, like 0.1mg. Yes, it's going to take quite a while, but it will give you the greatest chance of success because you will avoid having bad withdrawals. From a super low dose, you will still have withdrawals when you jump off, but they should be much easier to deal with than jumping off at 2mg, or 1mg. Remember, that for pain to non-opiate addicts, the dose prescribed is 0.1 to 0.3mg. 2mg is far too much for an opiate naive person... the drug fully saturates the mu opiate receptors at 2mg. It is not at all a low dose, it just might seem that way when doctors prescribe 8-24mg per day for opiate addicts. That really is overkill... the biggest reason for those huge doses, considering it doesn't become more effective at high dosages due to receptor saturation, is because it takes much longer to wear off and therefore eliminates interdose withdrawal, and blocks any other opioids from being able to be felt for much longer.
I'm on bupe myself right now, sadly. I had 5 years clean after 10 years of intense opiate addiction, from 2014 to 2019, and unfortunately relapsed when my dad was dying. And I've been struggling since. I tried to quit many times since then and was tired of the daily rollercoaster and spending so much money, and got on bupe. It was a good decision but I am scared about trying to get off. I'm on 12mg a day right now. I'm just riding on that dose for the next few months as I go through a very intense period at work, but my plan is to do the 10% drop per day that I described above. I know it will take me a long time to get down to where I jump off, but I also know it will give me the greatest chance of success. I plan to drop down to 2mg pretty rapidly, but from there I am going to go very slowly, because I have tried dropping quickly from 2mg before and it did not go well.
One other thing, if you have the films/strips, you won't be able to dose with that level of precision. I made sure to request the pills when I went on it, so that I could crush them up and use my milligram scale to weigh out my doses with great accuracy, when the time comes to taper down. I explained to my prescribed that that was why I wanted them, and they agreed that was a good idea and obliged me. The strips can be cut, but once you get a small enough piece, you lose the ability to really be able to attach it to your cheek/tongue effectively. And it's also hard to cut them accurately below 1mg.