How would Russia integrate Poland?

During the 1700s Poland became effectively a vassal state of Russia, and many thought it would eventually be absorbed into the Russian Empire. What disrupted that in our timeline was the rise of Prussia, who managed to stymy this and instead have a partition.

But what if Prussia gets dismembered in the 7YW. What would then happen to the PLC? Would Russia outright annex it? How and when would they do this? Presumably other countries would object, but I can't see France and Britain sending troops to stop it happening, and Sweden & Austria wouldn't have the power to stop it on their own.
 
I'm not so sure about outright annexation. IOTL the partition of PLC took almost 25 years and cooperation of 3 major powers, and the last 2 partitions were done in somewhat different circumstances - I mean the French Revolution and panic it caused among European monarchs.
Austria would be a major factor in this situation and it might actively oppose Russian annexation of Poland, because 1. Austria would be stronger, so actually capable of doing something 2. I doubt Austria would be happy with Russia getting even stronger.
Personally I think Russia would try to keep PLC as it was... in stagnation, as Russian protectorate. PLC was simply too big and too expensive to fully annex it. However, it is possible Russia would try to "steal" smaller pieces of eastern PLC and control some of strategic points in PLC. How about Russian garrison in Danzig to "protect PLC from evil Prussians"?. At the same time Russian fleet gets a good, reliant port which doesn't freeze in winter.
 
Russia will want Lithuanian part eventually, what later will become Ukraine and Belarus. But how it would get them without Prussian and Austrian cooperation is not clear. Poland is unlikely to remain a Russian protectorate indefinitely, so if there is a rebellion/war with Russia the result may be (barring other great powers intervention) the loss of Lithuania to Russia but breaking of Poland from Russian orbit. Full annexation may be possible, but that probably would be met with much greater resistance from Austria etc. Annexation of Poland proper was not universally popular in Russia either, there exited an opinion that it is more trouble then it is worth.
 
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