♻️ refactor(coding): switch to neocodeium, re-build cmp, move ai and cmp to their own lua files

Change codeium provider to neocodium. Re-build the nvim-cmp configuration to integrate better. Move ai plugins to ai.lua. Move cmp plugin to cmp.lua. This will make the code easier to navigate.

lua/plugins/ai.lua

@@ -0,0 +1,50 @@
+return {
+  { -- Neocodeium
+    "monkoose/neocodeium",
+    event = "VeryLazy",
+    opts = {
+      manual = false,
+      silent = true,
+      debounce = false,
+    },
+    init = function()
+      vim.keymap.set("i", "<c-y>", function()
+        require("neocodeium").accept()
+      end)
+      vim.keymap.set("i", "<c-w>", function()
+        require("neocodeium").accept_word()
+      end)
+      vim.keymap.set("i", "<c-l>", function()
+        require("neocodeium").accept_line()
+      end)
+      vim.keymap.set("i", "<c-p>", function()
+        require("neocodeium").cycle_or_complete(-1)
+      end)
+      vim.keymap.set("i", "<c-n>", function()
+        require("neocodeium").cycle_or_complete()
+      end)
+    end,
+  },
+  { -- Copilot
+    import = "lazyvim.plugins.extras.coding.copilot",
+    cond = function()
+      return vim.g.aitool == "copilot"
+    end,
+  },
+  { -- Tabnine
+    import = "lazyvim.plugins.extras.coding.tabnine",
+    cond = function()
+      return vim.g.aitool == "tabnine"
+    end,
+  },
+  { -- Minuet-AI
+    "milanglacier/minuet-ai.nvim",
+    dependencies = { { "nvim-lua/plenary.nvim" }, { "hrsh7th/nvim-cmp" } },
+    config = function()
+      require("minuet").setup({ provider = "openai" })
+    end,
+    cond = function()
+      return vim.g.aitool == "minuet"
+    end,
+  },
+}