Please post more detail info what is meant by dash lights blinking on and off ?
Does it appear like a problem localized to maybe the dimmer switch, where just the gauge lights and back lights are doing odd things ?
Is the entire dash and radio going on and off ?
Something else altogether ?
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I will share one thing from my own past experience, as it can throw people a curve ball on diagnosis. Not suggesting at this point that this would be the issue you're encountering, but something to keep in mind: Here are two pieces of info:
[a] when an alternator fails, it can fail in one of two ways: it can fail so it just doesn't charge at all any more. That is, it doesn't elevate the system voltage at all, so just the battery is what supplies electricity to the car. This is, I think, the most commonly thought failure mode of the alternator. But there is a different type of failure that can also happen- that would be where the Voltage regulator (which resides inside the alternator on most cars these days, including yours.) fails in the shorted condition. When this happens, the alternator can bring the system Voltage way above the nominal 14 Volts or so that is normal. A failed (shorted) regulator in the alternator can allow the system Voltage to get well above 17V, 18V. That would typically happen when the engine was sped up above idle.
I learned first-hand some years ago, these cars seem to have some protection built into them, that if the system detects Voltage too high, something trips and shuts off a bunch of things but not everything. I noticed my instrument cluster went dark, I think the radio also went off. Some things stayed on. The engine kept running. I think the headlights stayed on (but not sure 100%).
So anyway, if you find that things all seem OK when the engine is idling, but things start to shut off when the engine is revved some amount above idle, the cause could be a failed alternator. That can be measured by placing a digital Voltmeter across the battery terminals and watching what happens with the engine off, then with the engine running and revved to 2000 RPM or so. Engine off should be 12V to 12.8V or so (if the car was just shut off, it will be on the high side, then often gradually down toward 12V). Engine running, should be at least 13.5V, to about 14.5V typically. Varies with temperature, but that's ballpark. Engine revved to 2000, Voltage should remain fairly steady, within a few tenths. BTW if you do find the Voltage is going way up when revved, I recommend don't drive the car- get the alternator replaced. Although some things shut off for protection, not everything does. My battery got cooked just on a short drive home- The alternator was what failed, but my continued short drive home resulted also in a cooked battery. That was a few years ago.
Again the above is shared because it can be a "Gotcha" in diagnosis- seems unusual. Depending on what the further details of your symptom are, this may have nothing to do with your particular situation.
Wish you all the best !!