To really find out what's happening here, you would need to have a fuel pressure gauge, a noid light on an injecter plug and a spark tester on a spark plug wire to monitor which function is the one dropping out. The symptoms still have the earmark of a security system overiding things. If you found that it was the injecter pulse that was dropping out and nothing else, that would confirm it.
If you found a different function dropping out, then you would have another direction to pursue.
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