This is not the kind of thing you should be used to.
The normal way of doing things is to know the load you need to lift, the lifting points and your hoist assembly, and then, based on the number of attachments to the load, the cabling or chain or tape position regarding angle in relation to vertical, calculate the force in each lifting lug you'll position. Then, look for a lug (with or without a bearing in...) that has load capacity enough.
If you have the lug and need to know the load capacity, I'd first check out available models for the most similar one, check its capacity and give a safety margin (depending if your material is a rough poured metal one, be generous in this point...).
In extreme cases, there's always the option of approximating a manual calculation approximating the dimensions in a simple beam model, go FEA analysis after drawing it in a suitable software... but it will only be of some value if you do know the material and structure of your lug (rough, forged, laminated, ...).
After all, what's the size and price of your lug? Are you sure its not cheaper just to add one more?
I would also add that the material for the lug (padeye) should be plate and be z (ttt) through thickness tested. Use this for both the Main Plate (and cheek plates if required)
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