chore: migrate tutorials to v14

Author: Keinberger

.github/workflows/doc-tests.yml

@@ -27,5 +27,5 @@ jobs:
       - name: Run documentation tests
         run: |
           rustup update --no-self-update
-          cargo test --doc --release -- --test-threads=1
+          cargo test --doc --release --locked -- --test-threads=1
         working-directory: docs

.gitignore

@@ -1,7 +1,6 @@
 target/
 *.dat
 node/storage/*
-docs/Cargo.lock
 
 keystore
 *.sqlite3
@@ -11,3 +10,5 @@ web-client/playwright-report/
 web-client/test-results/
 **/.DS_Store
 .DS_Store
+.claude/
+.playwright-mcp/