Not exactly. You told correctly conditions of casefire. But conditions of peace were different.
After casefire and finishing wars with Tatars/Turkey new polish king
Vladislav IV Wasa decided to finish with that taxes once for ever. Good prepared and really big polish army (30.000 highly skilled veterans) was so dangerous for Sweden (fighting into 30years war) that they canceled taking taxes.
And remember that into some battles Gustavus behave quite bad, I would tell quite cowardless. During one of the battles (I think Battle of Trzcianna) he ran and was very close to being captured. Poles captured his ... belt. Lucky king ran.
I must tell that Gustavus was very good commander but Hannibal was simply better.
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