update the integration and NSE docs #2089

	name: nse_table

	on: [pull_request]
	jobs:
	nse_table:
	runs-on: ubuntu-latest
	steps:
	- uses: actions/checkout@v4
	with:
	fetch-depth: 0

	- name: Get AMReX
	run: \|
	mkdir external
	cd external
	git clone https://github.com/AMReX-Codes/amrex.git
	cd amrex
	git checkout development
	echo 'AMREX_HOME=$(GITHUB_WORKSPACE)/external/amrex' >> $GITHUB_ENV
	echo $AMREX_HOME
	if [[ -n "${AMREX_HOME}" ]]; then exit 1; fi
	cd ../..

	- name: Install dependencies
	run: \|
	sudo apt-get update -y -qq
	sudo apt-get -qq -y install curl cmake jq clang g++>=9.3.0

	- name: Compile, burn_cell_sdc (NSE, aprox19)
	run: \|
	cd unit_test/burn_cell_sdc
	make realclean
	make NETWORK_DIR=aprox19 USE_NSE_TABLE=TRUE -j 4

	- name: Run burn_cell_sdc (NSE, aprox19)
	run: \|
	cd unit_test/burn_cell_sdc
	./main3d.gnu.ex inputs_aprox19.nse.ci

	- name: Print backtrace
	if: ${{ failure() && hashFiles('unit_test/burn_cell_sdc/Backtrace.0') != '' }}
	run: cat unit_test/burn_cell_sdc/Backtrace.0

	- name: Compare to stored output (NSE, aprox19)
	run: \|
	cd unit_test/burn_cell_sdc
	diff state_over_time.txt ci-benchmarks/aprox19_NSE_state_over_time.txt

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