The referenced sentence is in response to this clause in Section 5 (the part which you quote is actually Section 6): "The election of a Seneschál shall be the sole and exclusive business of the first Clark of every newly seated Ziu..."
In other words, the second Clark may have bills, the standard Vote of Confidence, resolutions, and so forth, whereas the first Clark may be only, exclusively, and solely the election of the Seneschal without introduction or consideration of any other matter. (Well, except that the Senate may, if it chooses, complete its election of the Mencei or other matters, hence the "...any of their business for which the consent of the Cosâ or the King be not requisite".)
Well, okay, but this is the sentence:
The second Clark of every Ziu may entertain business as normal, but especially shall occur after a month of recess following the first Clark.
I think I understand your intentions, but purely as a matter of written language, this is really hard to parse.
The coordinating conjunction between the two clauses suggests a logical link of exclusion between them. For example: "Everyone gets ham for lunch,
but Trevor's lunch is over there." The suggestion is that Trevor's lunch is different in some way from everyone else's lunch, and implies that it is different in terms of the mentioned quality (hamness).
This provision reads like, "The second Clark is normal, BUT it will especially occur after a month of recess following the first Clark." That doesn't make any sense. If you replace the coordinating conjunction with "and," then it would make sense, but right now it's really confusing.
The second part also seems weird. How can the second Clark "especially" occur after a month of recess following the first Clark? Is it purporting to mandate that there be a month of recess? I mean, the intent of this whole bit seems to be to proscribe that the first Clark is just electing a Seneschal, then there's a monthlong break, and then the subsequent six Clarks play out as normal (or five Clarks and one minute, if the king chooses to end the Government early with his new power of prorogation). But it's really hard to understand just as it's written, and it clearly doesn't mandate anything. In fact, as best I can tell, a Government can gain an extra month in which to pass bills by just not declaring a month of recess until later in the term. If they wait until later, then the second Clark is not occurring after a month of recess following the first Clark, which renders the rest of the passage inoperable since its primary condition hasn't been met.
As for the Seneschal staying in power: Incorrect. See Section 8:
The Seneschál shall appoint a member of the Government to be the Deputy Prime Minister, who shall be known otherwise as the Distáin. The Distáin shall act in place of the Seneschál in case of absence or disability of the latter, and shall become the Seneschál in case of death, removal or resignation. The Ziu may establish by law the procedures and standards in order to determine the absence or disability of the Seneschál, as well as the manner or conditions by which the Distáin shall be appointed.
If a Seneschal is absent, dies, or yadda yadda yadda, then the Deputy takes over. Furthermore, the Ziu may set standards by law so that the Distain doesn't just become the Senescahl on a whim.
No, I see that the Distain can be acting as Seneschal in that instance, but Section 2 seems really clear:
The Seneschál shall be elected directly by the Cosâ, and his term shall expire upon the installation of his successor. He shall maintain the confidence of a majority of the Cosâ alone in order to hold the office.
The Government is here and throughout identified with the specific person who is elected as Seneschal. There's other provisions that say who the successor can be, but I don't really see why the term doesn't expire once that happens, since it explicitly says as much.
I mean, if you're elected as Seneschal, and you get die, your Distain becomes the new Seneschal and succeeds you in office. Your successor being installed, the "term shall expire."