infra: add CI job for running tutorial notebooks (#26944)

docs/scripts/execute_notebooks.sh

@@ -0,0 +1,31 @@
+#!/bin/bash
+
+# Read the list of notebooks to skip from the JSON file
+SKIP_NOTEBOOKS=$(python -c "import json; print('\n'.join(json.load(open('docs/notebooks_no_execution.json'))))")
+
+# Function to execute a single notebook
+execute_notebook() {
+    file="$1"
+    echo "Starting execution of $file"
+    start_time=$(date +%s)
+    if ! output=$(time poetry run jupyter nbconvert --to notebook --execute $file 2>&1); then
+        end_time=$(date +%s)
+        execution_time=$((end_time - start_time))
+        echo "Error in $file. Execution time: $execution_time seconds"
+        echo "Error details: $output"
+        exit 1
+    fi
+    end_time=$(date +%s)
+    execution_time=$((end_time - start_time))
+    echo "Finished $file. Execution time: $execution_time seconds"
+}
+
+export -f execute_notebook
+
+# Find all notebooks and filter out those in the skip list
+notebooks=$(find docs/docs/tutorials -name "*.ipynb" | grep -v ".ipynb_checkpoints" | grep -vFf <(echo "$SKIP_NOTEBOOKS"))
+
+# Execute notebooks sequentially
+for file in $notebooks; do
+    execute_notebook "$file"
+done