[Python] Order points in seaborn

I'm trying to make a stripplot / point plot / scatter plot, where the points in each category are sorted, based on the y value (see example in this forum post). I would like the points in each gene category sorted (as in the linked example with the two categories: placebo and full).

How can this be done in seaborn / pandas?

A simple example input would be:

pd.DataFrame({
"Gene": ["Gene1", "Gene1", "Gene1", "Gene1", "Gene1", "Gene1",
"Gene2", "Gene2", "Gene2", "Gene2", "Gene2", "Gene2"],
"Value": [80, 1205, 5, 150, 50, 80,
12, 5235, 235, 1245, 126, 10]})


And more elaborate:

pd.DataFrame({
"Gene": ["Gene1", "Gene1", "Gene1", "Gene1", "Gene1", "Gene1",
"Gene2", "Gene2", "Gene2", "Gene2", "Gene2", "Gene2"],
"Value": [80, 1205, 5, 150, 50, 80,
12, 5235, 235, 1245, 126, 10]}),
"State": ["active", "inactive", "active", "inactive", "active", "active",
"active", "active", "active", "inactive", "inactive", "inactive"]})


So the genes are the y-ticks, the values are the points and the activity is the hue.

Example of a stripplot, to illustrate the desired result:

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