docs: Various small documentation improvements (#2386)

package.json

@@ -78,7 +78,6 @@
     "eslint-config-prettier": "^9.1.0",
     "eslint-plugin-import": "^2.29.1",
     "jsdom": "^21.1.2",
-    "markdown-link-check": "^3.12.2",
     "prettier": "^3.3.2",
     "rollup": "^3.29.4",
     "rollup-plugin-git-info": "^1.0.0",
@@ -183,7 +182,7 @@
     "start": "rollup -c --watch",
     "build": "yarn run lint && yarn run rollup",
     "docs": "docsify serve ./docs",
-    "docs-check-links": "find ./docs -name '*.md' -print0 | xargs -0 -n1 markdown-link-check -c ./markdown-link-check.json",
+    "docs-check-links": "docker run --init --rm -v \"$(pwd):/input\" -w /input lycheeverse/lychee --config lychee.toml \"./docs/\"",
     "docs-update-images": "./scripts/docs-update-images.sh",
     "docs-update-dependencies": "./scripts/docs-update-dependencies.sh",
     "lint": "eslint 'src/**/*.ts'",