How to scale dot size on Dodge Y Dot Plot to extend chart height

I created a plot that I like except that the dot sizes are way to small. I want to add text to some dots that are larger (d.count>20). The data ranges from a count of 1 - 479. Note:479 is an outlier, and most counts are well below 50. I’ve tried adding a constant, adding d.count raised to an exponent, and a few random other tactics; however, they all basically result in dots that remain around the same overall size as shown below, or they all become near homogenous in size. I would like to be able to change the chart height to be larger. Maybe around 500px compared to the existing 250px, but this squashes the dots down farther.

Clearly the text doesn’t look good in the dots as-is, so what are some tips that can help to potentially help this situation?

Code

Plot.plot({
  height: 250,
  width: 1100,
  marks: [
    Plot.dot(
      designation_date_data_AQ,
      Plot.dodgeY({
        x: "Designation Date",
        r: (d) => d.count,
        padding: 7,
        fill: "black"
      })
    ),
    Plot.text(
      designation_date_data_AQ,
      Plot.dodgeY({
        filter: (d) => d.count > 20,
        x: "Designation Date",
        r: (d) => d.count,
        padding: 7,
        text: (d) => d.count.toFixed(),
        fill: "white",
        fontSize: 7,
        fontWeight: "bold"
      })
    )
  ]
})```

It’s really hard to formulate a response without the data, which you could provide with a link to your notebook.

It’s a private notebook that gets data from a Cloud File connected to Google Sheets. Unless you have some other tips, here is SARS-CoV-2 Designation Dates - Google Sheets. I copied the specific data to a new Sheet

Here is a similar Hexbin graphic of the data. You can see most data is between a count of 1 - 35. I limit the domain to not have the 479 value squash the visualization.