feat: add build --no-dts before eslint-doc-generator in blockESLintPlugin build:docs (#2186)

## PR Checklist

- [x] Addresses an existing open issue: fixes #2182
- [x] That issue was marked as [`status: accepting
prs`](https://github.com/JoshuaKGoldberg/create-typescript-app/issues?q=is%3Aopen+is%3Aissue+label%3A%22status%3A+accepting+prs%22)
- [x] Steps in
[CONTRIBUTING.md](https://github.com/JoshuaKGoldberg/create-typescript-app/blob/main/.github/CONTRIBUTING.md)
were taken

## Overview

🎁

Author: JoshuaKGoldberg

src/blocks/blockESLintPlugin.test.ts

@@ -96,7 +96,7 @@ describe("blockESLintPlugin", () => {
 			            "eslint-plugin-eslint-plugin": "6.4.0",
 			          },
 			          "scripts": {
-			            "build:docs": "eslint-doc-generator",
+			            "build:docs": "pnpm build --no-dts && eslint-doc-generator",
 			            "lint:docs": "eslint-doc-generator --check",
 			          },
 			        },
@@ -229,7 +229,7 @@ describe("blockESLintPlugin", () => {
 			            "eslint-plugin-eslint-plugin": "6.4.0",
 			          },
 			          "scripts": {
-			            "build:docs": "eslint-doc-generator",
+			            "build:docs": "pnpm build --no-dts && eslint-doc-generator",
 			            "lint:docs": "eslint-doc-generator --check",
 			          },
 			        },
@@ -360,7 +360,7 @@ describe("blockESLintPlugin", () => {
 			            "eslint-plugin-eslint-plugin": "6.4.0",
 			          },
 			          "scripts": {
-			            "build:docs": "eslint-doc-generator",
+			            "build:docs": "pnpm build --no-dts && eslint-doc-generator",
 			            "lint:docs": "eslint-doc-generator --check",
 			          },
 			        },

src/blocks/blockESLintPlugin.ts

@@ -74,7 +74,7 @@ pnpm build:docs
 							"eslint-plugin-eslint-plugin": "6.4.0",
 						},
 						scripts: {
-							"build:docs": "eslint-doc-generator",
+							"build:docs": "pnpm build --no-dts && eslint-doc-generator",
 							"lint:docs": "eslint-doc-generator --check",
 						},
 					},