Currently suggested edits are not permitted in the baby meta sites (per meta sites).
If my reputation exceeds 1000 in the main site, will I be permitted to edit (not suggested edit but direct edit) per site meta posts too?
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Yes, when you gain edit privileges on the main site, you also get the ability to edit posts on the meta site as well.
For sites in beta, the current reputation requirement is 1000 points, where as for graduated sites, you need 2000 points to gain this privilege.