during load development when shooting for "nodes" how many rounds of each powder charge do you typically fire

3 shots to narrow it down, 5 shots to confirm.

IMO 3 each is plenty to give you an average velocity. Especially with the prices of components these days. Also be sure to load rounds over the manual maximum and watch for pressure signs as you approach them. Too many manual "maximums" are for liability issues and not maximums for your rifle.
Some rifles love hot loads but I've found that I get at least one node somewhere between the starting and max load and also the best accuracy.

It depends on how you are defining your nodes and which methodology you are following.

In some methods, 1 shot is enough and three shots is only redundant. In other methods, 10 shots isn’t enough.

For how I personally develop loads, I only use 3 shots at each charge weight. For bullet seating nodes, I do at least 5, and repeat the test with more.

Thanks

Playing with my 300 WM. Fewer is better

Yes that is how I do it also (based on you're suggestion several months ago). I guess I didn't clarify 3 shots at each charge weight.