Quoted:
.223 Tula is a weak load. Nato 5.56 is a lot hotter providing a higher port pressure and increasing the cycle rate. A heavier buffer will resolve the 5-6 oclock ejection of the hotter 5.56 but may cause issue with lower powered ammo like Tula, bolt might no lock back after last round and/or ejecting at 1-2 oclock. Ammo, buffer wieght, gas system length, gas port size all play a role on your rifles ejection pattern. Sounds like your rifle is a little over gassed, which is common, larger gas ports to ensure full function with low powered .223 loads. Uss the heaviest buffer that will lock your bolt back on last round with the lowest power loads you plan to use. Normally Tula and Wolf steel are the lowest powered loads around.
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That's backwards, actually. If it's ejecting at 5 o'clock, a heavier buffer is likely going to cause a short stroke, because that is already a symptom of being under gassed (or too heavy of buffer/spring). If it's ejecting at 1 or 2 o'clock, that's a sign of being over gassed and would then benefit from a heavier buffer.
While there are numerous factors that control ejection pattern (gas port size, ammo pressure, buffer weight and spring strength, etc.), the easiest way to tune it for a specific ammo is by changing buffer weights or using a stronger/weaker spring. If you have an adjustable gas block, that's even better. I would tune the rifle to the ammo you plan to shoot the most. If Tula is your main ammo, you will probably want to go with a lighter buffer weight and/or a reduced power spring. If you're wanting a cheap ammo, I would suggest switching to Wolf Polyformance 55gr, as that is higher pressure than Tula, and can generally be had for the same price. If the American Eagle is what you plan to shoot the most, add a heavier buffer weight and/or a stronger spring.
Sounds like the Tula is right at the edge of not being reliable already, so adding a heavier buffer is probably going to cause a short stroke or a failure to lock back on an empty magazine. If you switch to the higher pressure Wolf for your bulk ammo, you should be able to add a heavier buffer to tone down the over gassed American Eagle while still keeping it reliable with Wolf.
I like an ejection pattern around 3 o'clock to 4:30. I can't advise a buffer weight, because that's entirely dependent on your gas port size. On my DD 10.3" .070 barrel I use an H buffer, which ejects Wolf at about 4:30 and M193 at about 3 o'clock. On my Noveske 10.5" .078ish port I use an H3 to achieve roughly the same pattern. So, it's really a matter of deciding what ammo you want to tune the rifle for, and then just playing around with buffer weights. Just FYI, you can buy weights from Kak Industries to build you own custom buffer for a lot less than buying individual H/H2/H3s.