If there is a code then we can track that down. However if there are no codes then we need to proceed with a couple of things. First we need to monitor the fuel pressure and make sure that is not dropping.
Unfortunately this makes the most sense except for one thing. Normally when they fail due to heat then they won't allow the engine to start until they cool down.
However, at this point if nothing else, I would start with replacing the sensor. Below is the process and the relearn. Let us know what this info is and we can go from there. Thanks
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