Jason wrote:

At the beginning of each week, each player who intended to change
eir Magic Levels, announces the values of what they were
changing eir Magic Levels to.
A player that fails to do so by the end of the week fails to intend
to change eir magic levels.

Players only announce things by sending messages.

I recommend avoiding any attempt to overload the terminology used for
tabled actions (until/unless they're amended to directly address these
variants), and instead just directly stating what's effective. Here's a
suggested revision, starting with defining "public secret":

      A public secret is a public message purporting to include an
      encrypted form (the Cipher) of some other text (the Plaintext).

      A verification of a public secret is a public message clearly
      identifying that public secret and including its Plaintext,
      provided that it could not reasonably have different Plaintext.

      A secure public secret is a public secret whose Plaintext cannot
      reasonably be derived from its Cipher alone.

      [Example: Plaintext is "Enchantment 1, Conjuration 3, Illusion 5"
      followed by some arbitrary GUID; Cipher is the SHA<whatever> hash
      of that combined text. The "provided that" clause rules out things
      like one-time pads. "Secure" is defined separately so that other
      rules can decide whether it's relevant to require it in a given
      context.]

      If a player announced a public secret during one week (the Magic
      Studying Period) and verified it during the following week (the
      Magic Practicing Period), then at the end of that Magic Practicing
      Period, each of eir Magic Levels is simultaneously flipped as
      specified in the Plaintext.

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