Shoot one eye open.
Practice this till it becomes an almost automatic habit, whilst every now & then challenge yourself & open the other eye to varying degrees at various stages of shooting.
(Meaning just slightly open/squint to completely open etc, from before shouldering, up to opening the eye any time just before the shot (fraction of or less than a second), concentrating on retaining the same image. Its easy stuff we do all the time, were just not concious of it...like ignoring movement in peripheral vision when looking through a scope, or concentrating on something.
Also have seperate practice sessions to concentrate on what youre looking at, (the bead at the end of the face of a slightly elevated rib), this way you'll reprogram your minds "automation" as to what to look for when shooting both open.. Do this both before a shooting session, as well as at home against the wall/at the neighbours cat etc etc
Dont let those clay target "experts" scare you & program your mind with negative sh!t as they all too often do..!! As i bet you now have an overwhelming fear this clay busting is going to be so very hard for you, & now all you see is predomantly the left eye (because thats whats just been made/pointed out to you)...because it wont difficult...
Some of these experts (not all--but some..!!) have no idea how to "train', particularly shotgun shooters...Them saying youre left eye dominant, telling you how much harder it makes shooting & giving you random grabbed "fixes" for it, Is like me saying to an overweight diabetic starting a diet, "Dont think about a large Whopper from hungry jacks & a thickshake"
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Other than what ive said, just come up with your own little regime of fixes concentrating on the image from right eye & you'll be shooting 2 eyes open when necessary.
By the way, im a believer that sometimes there is good reason to shoot one eye closed, early morning glare from sunrise is one, flare off of water is another, so having the skill to do either & switch without even thinking is a good thing.