Spatial Join - Grid Containing Points, Display Highest Value Only (modelbuilder?)

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Sorry if this has been answered--I couldn't find anything specific to my question, however.

-I have a polygon grid layer and a point layer which contains numerical values (1-4)

-I want to use a spatial join to colorize the grid based on the highest value point it contains.

-I'd like to do it in modelbuilder if possible, so I can easily incorporate it into my workflow.

For example:

Let's say let's say the value 4 is colored red, 3 orange, 2 green, 1 blue.

In this example, the top left square would end up with a value of 4, the lower right square would end up with a value of 2, and the other squares would end up with values of 3.



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