All 3 Uses

assess
in
The Autobiography of Benjamin Franklin
(Edited)

...and then with an alteration in the mode of assessment, which I thought not for the better, but with an additional provision for lighting as well as paving the streets, which was a great improvement.

assessment = charging a tax or fee
That the assessors were honest and discreet men under an oath to assess fairly and equitably, and that any advantage each of them might expect in lessening his own tax by augmenting that of the proprietaries was too trifling to induce them to perjure themselves.
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assess = determine the monetary value of something (for the purpose of taxation)
After a full enquiry, they unanimously sign'd a report that they found the tax had been assess'd with perfect equity.
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assess'd = set

Definitions:

(1) (assess as in: assess the situation)
to evaluate (consider something and make one or more judgements)
(2) (assess as in: assess the monetary value)
determine a numeric value of something -- such as a property's value or a truck's weight
(3) (assess as in: assess a fee or penalty)
charge a tax, fine, fee, or penalty
(4) (meaning too rare to warrant focus)