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Before I read the aphoristic three-word reply to you from Richard Kennaway (admittedly a likely even clearer-cut way to indicate the following sentiment), I was thinking that to downplay any unintended implications about the magnitude of your probabilities that you could maybe say something about your tracking being for mundane-vigilance or intermittent-map-maintenance or routine-reality-syncing / -surveying / -sampling reasons.

For any audience you anticipate familiarity with this essay though, another idea might be to use a version of something like:

"The plumber says it's fixed, which I'm splitting on [by default][and {also} tracking <for posterity>]."

(spoilered section below just corrals a ~dozen expansions / embellishments of the above)

"The plumber says it's fixed, which I'm splitting on."

  • "The plumber says it's fixed, which I'm splitting on and tracking."
    • "The plumber says it's fixed, which I'm splitting on and tracking for posterity."
    • "The plumber says it's fixed, which I'm splitting on and also tracking."
  • "The plumber says it's fixed, which I'm splitting on by default."
    • "The plumber says it's fixed, which I'm splitting on by default and tracking."
      • "The plumber says it's fixed, which I'm splitting on by default and tracking for posterity."
      • "The plumber says it's fixed, which I'm splitting on by default and also tracking."
    • "The plumber says it's fixed, which I'm splitting on by default and will track mindfully for posterity."
    • "The plumber says it's fixed, which I'm splitting on by default (mindfully though—and so will also just track as a matter of course)."
    • "The plumber says it's fixed, which I'm splitting on by default (mindfully though, so tracking then for posterity)."
  • "The plumber says it's fixed, which I'm splitting on and will track mindfully for posterity."
  • "The plumber says it's fixed, which I'm splitting on (mindfully though—and so will also just track as a matter of course)."
  • "The plumber says it's fixed, which I'm splitting on (mindfully though, so tracking then for posterity)."

While we're on the topic of amending standard Mafia, I suppose I'll also mention that implementing Robin Hanson's EquaTalk might make for an interesting game as well.

The first lecture at this link and accompanying handout from UChicago's (now-retired) writing-program director, Larry McEnerney, has come up here on a number of occasions.

Additionally, I imagine you'll be able to unearth some good stuff perusing LW's writing tag.

Since you've not mentioned a specific brand, to make it potentially even easier for people to grab something they might like I suppose I'll go ahead and link to the following (which appeared many moons ago in a product-recommendation post on SSC), though note it's a bit less sugary than the one above, i.e. just 7g/Tbsp: https://www.amazon.com/gp/product/B00CMGRNAK

Here's a video

It's also written up on Cognitive Revolution's substack for those that prefer text.

clicked first relative to receiving are the same person! And also that person is from the majority group

A majority member being the initial clicker also isn't terribly surprising because a group being larger means one-or-more of any given sort of person -- in this case, a quick-responder-type -- is likelier to crop up among them.

A small extra detail not mentioned: the end of the linked URL is "unilateralism=true".

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